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Finding the Third Proportional to 37,672 and 80,342

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Solution

The third proportional to 37,672 and 80,342 is: 171,343.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,672 : 80,342 = 80,342 : x
  2. Step 2: Convert to fraction form
    37,672/80,342 = 80,342/x
  3. Step 3: Cross multiply
    37,672x = 80,342 × 80,342
  4. Step 4: Simplify right side
    37,672x = 6,454,836,964
  5. Step 5: Solve for x
    x = 6,454,836,964/37,672
  6. Step 6: Final answer
    x = 171,343.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.