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Finding the Third Proportional to 11,374.17 and 24,394.92

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Solution

The third proportional to 11,374.17 and 24,394.92 is: 52,321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.17 : 24,394.92 = 24,394.92 : x
  2. Step 2: Convert to fraction form
    11,374.17/24,394.92 = 24,394.92/x
  3. Step 3: Cross multiply
    11,374.17x = 24,394.92 × 24,394.92
  4. Step 4: Simplify right side
    11,374.17x = 595,112,213.29
  5. Step 5: Solve for x
    x = 595,112,213.29/11,374.17
  6. Step 6: Final answer
    x = 52,321.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.