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Finding the Third Proportional to 10,761 and 24,042

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Solution

The third proportional to 10,761 and 24,042 is: 53,714.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761 : 24,042 = 24,042 : x
  2. Step 2: Convert to fraction form
    10,761/24,042 = 24,042/x
  3. Step 3: Cross multiply
    10,761x = 24,042 × 24,042
  4. Step 4: Simplify right side
    10,761x = 578,017,764
  5. Step 5: Solve for x
    x = 578,017,764/10,761
  6. Step 6: Final answer
    x = 53,714.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.