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Finding the Third Proportional to 23,107 and 36,731

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Solution

The third proportional to 23,107 and 36,731 is: 58,387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107 : 36,731 = 36,731 : x
  2. Step 2: Convert to fraction form
    23,107/36,731 = 36,731/x
  3. Step 3: Cross multiply
    23,107x = 36,731 × 36,731
  4. Step 4: Simplify right side
    23,107x = 1,349,166,361
  5. Step 5: Solve for x
    x = 1,349,166,361/23,107
  6. Step 6: Final answer
    x = 58,387.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.