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Finding the Third Proportional to 37,867.50 and 79,542

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Solution

The third proportional to 37,867.50 and 79,542 is: 167,080.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,867.50 : 79,542 = 79,542 : x
  2. Step 2: Convert to fraction form
    37,867.50/79,542 = 79,542/x
  3. Step 3: Cross multiply
    37,867.50x = 79,542 × 79,542
  4. Step 4: Simplify right side
    37,867.50x = 6,326,929,764
  5. Step 5: Solve for x
    x = 6,326,929,764/37,867.50
  6. Step 6: Final answer
    x = 167,080.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.