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Finding the Third Proportional to 37,145.53 and 80,347.78

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Solution

The third proportional to 37,145.53 and 80,347.78 is: 173,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,145.53 : 80,347.78 = 80,347.78 : x
  2. Step 2: Convert to fraction form
    37,145.53/80,347.78 = 80,347.78/x
  3. Step 3: Cross multiply
    37,145.53x = 80,347.78 × 80,347.78
  4. Step 4: Simplify right side
    37,145.53x = 6,455,765,951.80
  5. Step 5: Solve for x
    x = 6,455,765,951.80/37,145.53
  6. Step 6: Final answer
    x = 173,796.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.