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Finding the Third Proportional to 37,551 and 80,283

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Solution

The third proportional to 37,551 and 80,283 is: 171,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,551 : 80,283 = 80,283 : x
  2. Step 2: Convert to fraction form
    37,551/80,283 = 80,283/x
  3. Step 3: Cross multiply
    37,551x = 80,283 × 80,283
  4. Step 4: Simplify right side
    37,551x = 6,445,360,089
  5. Step 5: Solve for x
    x = 6,445,360,089/37,551
  6. Step 6: Final answer
    x = 171,642.83

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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.