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Finding the Third Proportional to 39,346.78 and 59,318.10

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Solution

The third proportional to 39,346.78 and 59,318.10 is: 89,426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,346.78 : 59,318.10 = 59,318.10 : x
  2. Step 2: Convert to fraction form
    39,346.78/59,318.10 = 59,318.10/x
  3. Step 3: Cross multiply
    39,346.78x = 59,318.10 × 59,318.10
  4. Step 4: Simplify right side
    39,346.78x = 3,518,637,404.69
  5. Step 5: Solve for x
    x = 3,518,637,404.69/39,346.78
  6. Step 6: Final answer
    x = 89,426.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.