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Finding the Third Proportional to 22,999.50 and 49,221.75

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Solution

The third proportional to 22,999.50 and 49,221.75 is: 105,340.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,999.50 : 49,221.75 = 49,221.75 : x
  2. Step 2: Convert to fraction form
    22,999.50/49,221.75 = 49,221.75/x
  3. Step 3: Cross multiply
    22,999.50x = 49,221.75 × 49,221.75
  4. Step 4: Simplify right side
    22,999.50x = 2,422,780,673.06
  5. Step 5: Solve for x
    x = 2,422,780,673.06/22,999.50
  6. Step 6: Final answer
    x = 105,340.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.