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Finding the Third Proportional to 24,721 and 53,042

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Solution

The third proportional to 24,721 and 53,042 is: 113,808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,721 : 53,042 = 53,042 : x
  2. Step 2: Convert to fraction form
    24,721/53,042 = 53,042/x
  3. Step 3: Cross multiply
    24,721x = 53,042 × 53,042
  4. Step 4: Simplify right side
    24,721x = 2,813,453,764
  5. Step 5: Solve for x
    x = 2,813,453,764/24,721
  6. Step 6: Final answer
    x = 113,808.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.