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Finding the Third Proportional to 26,731 and 38,908

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Solution

The third proportional to 26,731 and 38,908 is: 56,632.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,731 : 38,908 = 38,908 : x
  2. Step 2: Convert to fraction form
    26,731/38,908 = 38,908/x
  3. Step 3: Cross multiply
    26,731x = 38,908 × 38,908
  4. Step 4: Simplify right side
    26,731x = 1,513,832,464
  5. Step 5: Solve for x
    x = 1,513,832,464/26,731
  6. Step 6: Final answer
    x = 56,632.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.