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Finding the Third Proportional to 39,120.47 and 58,864.22

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Solution

The third proportional to 39,120.47 and 58,864.22 is: 88,572.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,120.47 : 58,864.22 = 58,864.22 : x
  2. Step 2: Convert to fraction form
    39,120.47/58,864.22 = 58,864.22/x
  3. Step 3: Cross multiply
    39,120.47x = 58,864.22 × 58,864.22
  4. Step 4: Simplify right side
    39,120.47x = 3,464,996,249.05
  5. Step 5: Solve for x
    x = 3,464,996,249.05/39,120.47
  6. Step 6: Final answer
    x = 88,572.46

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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.