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Finding the Third Proportional to 39,466 and 61,340

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Solution

The third proportional to 39,466 and 61,340 is: 95,337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,466 : 61,340 = 61,340 : x
  2. Step 2: Convert to fraction form
    39,466/61,340 = 61,340/x
  3. Step 3: Cross multiply
    39,466x = 61,340 × 61,340
  4. Step 4: Simplify right side
    39,466x = 3,762,595,600
  5. Step 5: Solve for x
    x = 3,762,595,600/39,466
  6. Step 6: Final answer
    x = 95,337.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.