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Finding the Third Proportional to 15,959 and 25,613

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Solution

The third proportional to 15,959 and 25,613 is: 41,106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,959 : 25,613 = 25,613 : x
  2. Step 2: Convert to fraction form
    15,959/25,613 = 25,613/x
  3. Step 3: Cross multiply
    15,959x = 25,613 × 25,613
  4. Step 4: Simplify right side
    15,959x = 656,025,769
  5. Step 5: Solve for x
    x = 656,025,769/15,959
  6. Step 6: Final answer
    x = 41,106.95

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.