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Finding the Third Proportional to 44,446.50 and 73,411.13

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Solution

The third proportional to 44,446.50 and 73,411.13 is: 121,251.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,446.50 : 73,411.13 = 73,411.13 : x
  2. Step 2: Convert to fraction form
    44,446.50/73,411.13 = 73,411.13/x
  3. Step 3: Cross multiply
    44,446.50x = 73,411.13 × 73,411.13
  4. Step 4: Simplify right side
    44,446.50x = 5,389,193,273.77
  5. Step 5: Solve for x
    x = 5,389,193,273.77/44,446.50
  6. Step 6: Final answer
    x = 121,251.24

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.