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Finding the Third Proportional to 31,466 and 48,613

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Solution

The third proportional to 31,466 and 48,613 is: 75,104.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,466 : 48,613 = 48,613 : x
  2. Step 2: Convert to fraction form
    31,466/48,613 = 48,613/x
  3. Step 3: Cross multiply
    31,466x = 48,613 × 48,613
  4. Step 4: Simplify right side
    31,466x = 2,363,223,769
  5. Step 5: Solve for x
    x = 2,363,223,769/31,466
  6. Step 6: Final answer
    x = 75,104.04

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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.