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Finding the Third Proportional to 12,082 and 26,540

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Solution

The third proportional to 12,082 and 26,540 is: 58,299.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082 : 26,540 = 26,540 : x
  2. Step 2: Convert to fraction form
    12,082/26,540 = 26,540/x
  3. Step 3: Cross multiply
    12,082x = 26,540 × 26,540
  4. Step 4: Simplify right side
    12,082x = 704,371,600
  5. Step 5: Solve for x
    x = 704,371,600/12,082
  6. Step 6: Final answer
    x = 58,299.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.