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Finding the Third Proportional to 47,294.13 and 70,531.13

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Solution

The third proportional to 47,294.13 and 70,531.13 is: 105,185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,294.13 : 70,531.13 = 70,531.13 : x
  2. Step 2: Convert to fraction form
    47,294.13/70,531.13 = 70,531.13/x
  3. Step 3: Cross multiply
    47,294.13x = 70,531.13 × 70,531.13
  4. Step 4: Simplify right side
    47,294.13x = 4,974,639,593.77
  5. Step 5: Solve for x
    x = 4,974,639,593.77/47,294.13
  6. Step 6: Final answer
    x = 105,185.15

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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.