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Finding the Third Proportional to 37,566 and 80,464

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Solution

The third proportional to 37,566 and 80,464 is: 172,348.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,566 : 80,464 = 80,464 : x
  2. Step 2: Convert to fraction form
    37,566/80,464 = 80,464/x
  3. Step 3: Cross multiply
    37,566x = 80,464 × 80,464
  4. Step 4: Simplify right side
    37,566x = 6,474,455,296
  5. Step 5: Solve for x
    x = 6,474,455,296/37,566
  6. Step 6: Final answer
    x = 172,348.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.