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Finding the Third Proportional to 12,538 and 16,887

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Solution

The third proportional to 12,538 and 16,887 is: 22,744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538 : 16,887 = 16,887 : x
  2. Step 2: Convert to fraction form
    12,538/16,887 = 16,887/x
  3. Step 3: Cross multiply
    12,538x = 16,887 × 16,887
  4. Step 4: Simplify right side
    12,538x = 285,170,769
  5. Step 5: Solve for x
    x = 285,170,769/12,538
  6. Step 6: Final answer
    x = 22,744.52

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.