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Finding the Third Proportional to 40,294.13 and 63,534.38

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Solution

The third proportional to 40,294.13 and 63,534.38 is: 100,178.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,294.13 : 63,534.38 = 63,534.38 : x
  2. Step 2: Convert to fraction form
    40,294.13/63,534.38 = 63,534.38/x
  3. Step 3: Cross multiply
    40,294.13x = 63,534.38 × 63,534.38
  4. Step 4: Simplify right side
    40,294.13x = 4,036,616,806.64
  5. Step 5: Solve for x
    x = 4,036,616,806.64/40,294.13
  6. Step 6: Final answer
    x = 100,178.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.