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Finding the Third Proportional to 26,872 and 39,489

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Solution

The third proportional to 26,872 and 39,489 is: 58,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,872 : 39,489 = 39,489 : x
  2. Step 2: Convert to fraction form
    26,872/39,489 = 39,489/x
  3. Step 3: Cross multiply
    26,872x = 39,489 × 39,489
  4. Step 4: Simplify right side
    26,872x = 1,559,381,121
  5. Step 5: Solve for x
    x = 1,559,381,121/26,872
  6. Step 6: Final answer
    x = 58,029.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.