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Finding the Third Proportional to 12,387 and 30,549

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Solution

The third proportional to 12,387 and 30,549 is: 75,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,387 : 30,549 = 30,549 : x
  2. Step 2: Convert to fraction form
    12,387/30,549 = 30,549/x
  3. Step 3: Cross multiply
    12,387x = 30,549 × 30,549
  4. Step 4: Simplify right side
    12,387x = 933,241,401
  5. Step 5: Solve for x
    x = 933,241,401/12,387
  6. Step 6: Final answer
    x = 75,340.39

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.