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Finding the Third Proportional to 40,509.25 and 63,402.38

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Solution

The third proportional to 40,509.25 and 63,402.38 is: 99,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,509.25 : 63,402.38 = 63,402.38 : x
  2. Step 2: Convert to fraction form
    40,509.25/63,402.38 = 63,402.38/x
  3. Step 3: Cross multiply
    40,509.25x = 63,402.38 × 63,402.38
  4. Step 4: Simplify right side
    40,509.25x = 4,019,861,155.64
  5. Step 5: Solve for x
    x = 4,019,861,155.64/40,509.25
  6. Step 6: Final answer
    x = 99,233.17

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.