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Finding the Third Proportional to 26,082 and 37,376

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Solution

The third proportional to 26,082 and 37,376 is: 53,560.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,082 : 37,376 = 37,376 : x
  2. Step 2: Convert to fraction form
    26,082/37,376 = 37,376/x
  3. Step 3: Cross multiply
    26,082x = 37,376 × 37,376
  4. Step 4: Simplify right side
    26,082x = 1,396,965,376
  5. Step 5: Solve for x
    x = 1,396,965,376/26,082
  6. Step 6: Final answer
    x = 53,560.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.