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Finding the Third Proportional to 39,397 and 59,126

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Solution

The third proportional to 39,397 and 59,126 is: 88,734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,397 : 59,126 = 59,126 : x
  2. Step 2: Convert to fraction form
    39,397/59,126 = 59,126/x
  3. Step 3: Cross multiply
    39,397x = 59,126 × 59,126
  4. Step 4: Simplify right side
    39,397x = 3,495,883,876
  5. Step 5: Solve for x
    x = 3,495,883,876/39,397
  6. Step 6: Final answer
    x = 88,734.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.