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Finding the Third Proportional to 12,862 and 27,454

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Solution

The third proportional to 12,862 and 27,454 is: 58,600.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862 : 27,454 = 27,454 : x
  2. Step 2: Convert to fraction form
    12,862/27,454 = 27,454/x
  3. Step 3: Cross multiply
    12,862x = 27,454 × 27,454
  4. Step 4: Simplify right side
    12,862x = 753,722,116
  5. Step 5: Solve for x
    x = 753,722,116/12,862
  6. Step 6: Final answer
    x = 58,600.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.