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Finding the Third Proportional to 24,744 and 58,352

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Solution

The third proportional to 24,744 and 58,352 is: 137,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,744 : 58,352 = 58,352 : x
  2. Step 2: Convert to fraction form
    24,744/58,352 = 58,352/x
  3. Step 3: Cross multiply
    24,744x = 58,352 × 58,352
  4. Step 4: Simplify right side
    24,744x = 3,404,955,904
  5. Step 5: Solve for x
    x = 3,404,955,904/24,744
  6. Step 6: Final answer
    x = 137,607.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.