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Finding the Third Proportional to 24,714 and 54,342

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Solution

The third proportional to 24,714 and 54,342 is: 119,489.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714 : 54,342 = 54,342 : x
  2. Step 2: Convert to fraction form
    24,714/54,342 = 54,342/x
  3. Step 3: Cross multiply
    24,714x = 54,342 × 54,342
  4. Step 4: Simplify right side
    24,714x = 2,953,052,964
  5. Step 5: Solve for x
    x = 2,953,052,964/24,714
  6. Step 6: Final answer
    x = 119,489.07

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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.