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Finding the Third Proportional to 39,438 and 59,001

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Solution

The third proportional to 39,438 and 59,001 is: 88,268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,438 : 59,001 = 59,001 : x
  2. Step 2: Convert to fraction form
    39,438/59,001 = 59,001/x
  3. Step 3: Cross multiply
    39,438x = 59,001 × 59,001
  4. Step 4: Simplify right side
    39,438x = 3,481,118,001
  5. Step 5: Solve for x
    x = 3,481,118,001/39,438
  6. Step 6: Final answer
    x = 88,268.12

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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.