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Finding the Third Proportional to 40,425.75 and 59,464.13

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Solution

The third proportional to 40,425.75 and 59,464.13 is: 87,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,425.75 : 59,464.13 = 59,464.13 : x
  2. Step 2: Convert to fraction form
    40,425.75/59,464.13 = 59,464.13/x
  3. Step 3: Cross multiply
    40,425.75x = 59,464.13 × 59,464.13
  4. Step 4: Simplify right side
    40,425.75x = 3,535,982,162.02
  5. Step 5: Solve for x
    x = 3,535,982,162.02/40,425.75
  6. Step 6: Final answer
    x = 87,468.56

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.