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Finding the Third Proportional to 39,001 and 59,909

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Solution

The third proportional to 39,001 and 59,909 is: 92,025.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,001 : 59,909 = 59,909 : x
  2. Step 2: Convert to fraction form
    39,001/59,909 = 59,909/x
  3. Step 3: Cross multiply
    39,001x = 59,909 × 59,909
  4. Step 4: Simplify right side
    39,001x = 3,589,088,281
  5. Step 5: Solve for x
    x = 3,589,088,281/39,001
  6. Step 6: Final answer
    x = 92,025.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.