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Finding the Third Proportional to 17,753.50 and 38,275

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Solution

The third proportional to 17,753.50 and 38,275 is: 82,517.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,753.50 : 38,275 = 38,275 : x
  2. Step 2: Convert to fraction form
    17,753.50/38,275 = 38,275/x
  3. Step 3: Cross multiply
    17,753.50x = 38,275 × 38,275
  4. Step 4: Simplify right side
    17,753.50x = 1,464,975,625
  5. Step 5: Solve for x
    x = 1,464,975,625/17,753.50
  6. Step 6: Final answer
    x = 82,517.57

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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.