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Finding the Third Proportional to 12,542 and 26,750

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Solution

The third proportional to 12,542 and 26,750 is: 57,053.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542 : 26,750 = 26,750 : x
  2. Step 2: Convert to fraction form
    12,542/26,750 = 26,750/x
  3. Step 3: Cross multiply
    12,542x = 26,750 × 26,750
  4. Step 4: Simplify right side
    12,542x = 715,562,500
  5. Step 5: Solve for x
    x = 715,562,500/12,542
  6. Step 6: Final answer
    x = 57,053.30

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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.