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Finding the Third Proportional to 24,940 and 54,342

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Solution

The third proportional to 24,940 and 54,342 is: 118,406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,940 : 54,342 = 54,342 : x
  2. Step 2: Convert to fraction form
    24,940/54,342 = 54,342/x
  3. Step 3: Cross multiply
    24,940x = 54,342 × 54,342
  4. Step 4: Simplify right side
    24,940x = 2,953,052,964
  5. Step 5: Solve for x
    x = 2,953,052,964/24,940
  6. Step 6: Final answer
    x = 118,406.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.