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Finding the Third Proportional to 10,705 and 24,613

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Solution

The third proportional to 10,705 and 24,613 is: 56,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705 : 24,613 = 24,613 : x
  2. Step 2: Convert to fraction form
    10,705/24,613 = 24,613/x
  3. Step 3: Cross multiply
    10,705x = 24,613 × 24,613
  4. Step 4: Simplify right side
    10,705x = 605,799,769
  5. Step 5: Solve for x
    x = 605,799,769/10,705
  6. Step 6: Final answer
    x = 56,590.36

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.