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Finding the Third Proportional to 22,009.50 and 48,121.50

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Solution

The third proportional to 22,009.50 and 48,121.50 is: 105,212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,009.50 : 48,121.50 = 48,121.50 : x
  2. Step 2: Convert to fraction form
    22,009.50/48,121.50 = 48,121.50/x
  3. Step 3: Cross multiply
    22,009.50x = 48,121.50 × 48,121.50
  4. Step 4: Simplify right side
    22,009.50x = 2,315,678,762.25
  5. Step 5: Solve for x
    x = 2,315,678,762.25/22,009.50
  6. Step 6: Final answer
    x = 105,212.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.