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Finding the Third Proportional to 22,189.50 and 32,955.75

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Solution

The third proportional to 22,189.50 and 32,955.75 is: 48,945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,189.50 : 32,955.75 = 32,955.75 : x
  2. Step 2: Convert to fraction form
    22,189.50/32,955.75 = 32,955.75/x
  3. Step 3: Cross multiply
    22,189.50x = 32,955.75 × 32,955.75
  4. Step 4: Simplify right side
    22,189.50x = 1,086,081,458.06
  5. Step 5: Solve for x
    x = 1,086,081,458.06/22,189.50
  6. Step 6: Final answer
    x = 48,945.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.