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Finding the Third Proportional to 42,265.13 and 63,264.38

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Solution

The third proportional to 42,265.13 and 63,264.38 is: 94,697.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,265.13 : 63,264.38 = 63,264.38 : x
  2. Step 2: Convert to fraction form
    42,265.13/63,264.38 = 63,264.38/x
  3. Step 3: Cross multiply
    42,265.13x = 63,264.38 × 63,264.38
  4. Step 4: Simplify right side
    42,265.13x = 4,002,381,144.14
  5. Step 5: Solve for x
    x = 4,002,381,144.14/42,265.13
  6. Step 6: Final answer
    x = 94,697.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.