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Finding the Third Proportional to 12,557 and 27,059

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Solution

The third proportional to 12,557 and 27,059 is: 58,309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557 : 27,059 = 27,059 : x
  2. Step 2: Convert to fraction form
    12,557/27,059 = 27,059/x
  3. Step 3: Cross multiply
    12,557x = 27,059 × 27,059
  4. Step 4: Simplify right side
    12,557x = 732,189,481
  5. Step 5: Solve for x
    x = 732,189,481/12,557
  6. Step 6: Final answer
    x = 58,309.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.