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Finding the Third Proportional to 12,414 and 25,486

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Solution

The third proportional to 12,414 and 25,486 is: 52,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414 : 25,486 = 25,486 : x
  2. Step 2: Convert to fraction form
    12,414/25,486 = 25,486/x
  3. Step 3: Cross multiply
    12,414x = 25,486 × 25,486
  4. Step 4: Simplify right side
    12,414x = 649,536,196
  5. Step 5: Solve for x
    x = 649,536,196/12,414
  6. Step 6: Final answer
    x = 52,322.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.