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Finding the Third Proportional to 27,098 and 41,704

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Solution

The third proportional to 27,098 and 41,704 is: 64,182.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,098 : 41,704 = 41,704 : x
  2. Step 2: Convert to fraction form
    27,098/41,704 = 41,704/x
  3. Step 3: Cross multiply
    27,098x = 41,704 × 41,704
  4. Step 4: Simplify right side
    27,098x = 1,739,223,616
  5. Step 5: Solve for x
    x = 1,739,223,616/27,098
  6. Step 6: Final answer
    x = 64,182.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.