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Finding the Third Proportional to 12,911 and 27,374

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Solution

The third proportional to 12,911 and 27,374 is: 58,038.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911 : 27,374 = 27,374 : x
  2. Step 2: Convert to fraction form
    12,911/27,374 = 27,374/x
  3. Step 3: Cross multiply
    12,911x = 27,374 × 27,374
  4. Step 4: Simplify right side
    12,911x = 749,335,876
  5. Step 5: Solve for x
    x = 749,335,876/12,911
  6. Step 6: Final answer
    x = 58,038.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.