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Finding the Third Proportional to 15,754 and 34,613

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Solution

The third proportional to 15,754 and 34,613 is: 76,047.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754 : 34,613 = 34,613 : x
  2. Step 2: Convert to fraction form
    15,754/34,613 = 34,613/x
  3. Step 3: Cross multiply
    15,754x = 34,613 × 34,613
  4. Step 4: Simplify right side
    15,754x = 1,198,059,769
  5. Step 5: Solve for x
    x = 1,198,059,769/15,754
  6. Step 6: Final answer
    x = 76,047.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.