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Finding the Third Proportional to 10,708 and 25,793

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Solution

The third proportional to 10,708 and 25,793 is: 62,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708 : 25,793 = 25,793 : x
  2. Step 2: Convert to fraction form
    10,708/25,793 = 25,793/x
  3. Step 3: Cross multiply
    10,708x = 25,793 × 25,793
  4. Step 4: Simplify right side
    10,708x = 665,278,849
  5. Step 5: Solve for x
    x = 665,278,849/10,708
  6. Step 6: Final answer
    x = 62,129.14

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.