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Finding the Third Proportional to 27,179.46 and 36,098.31

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Solution

The third proportional to 27,179.46 and 36,098.31 is: 47,943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,179.46 : 36,098.31 = 36,098.31 : x
  2. Step 2: Convert to fraction form
    27,179.46/36,098.31 = 36,098.31/x
  3. Step 3: Cross multiply
    27,179.46x = 36,098.31 × 36,098.31
  4. Step 4: Simplify right side
    27,179.46x = 1,303,088,306.36
  5. Step 5: Solve for x
    x = 1,303,088,306.36/27,179.46
  6. Step 6: Final answer
    x = 47,943.87

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.