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Finding the Third Proportional to 12,874 and 27,854

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Solution

The third proportional to 12,874 and 27,854 is: 60,264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874 : 27,854 = 27,854 : x
  2. Step 2: Convert to fraction form
    12,874/27,854 = 27,854/x
  3. Step 3: Cross multiply
    12,874x = 27,854 × 27,854
  4. Step 4: Simplify right side
    12,874x = 775,845,316
  5. Step 5: Solve for x
    x = 775,845,316/12,874
  6. Step 6: Final answer
    x = 60,264.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.