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Finding the Third Proportional to 37,747.69 and 79,984.13

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Solution

The third proportional to 37,747.69 and 79,984.13 is: 169,479.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,747.69 : 79,984.13 = 79,984.13 : x
  2. Step 2: Convert to fraction form
    37,747.69/79,984.13 = 79,984.13/x
  3. Step 3: Cross multiply
    37,747.69x = 79,984.13 × 79,984.13
  4. Step 4: Simplify right side
    37,747.69x = 6,397,460,252.02
  5. Step 5: Solve for x
    x = 6,397,460,252.02/37,747.69
  6. Step 6: Final answer
    x = 169,479.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.