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Finding the Third Proportional to 17,750 and 38,436

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Solution

The third proportional to 17,750 and 38,436 is: 83,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,750 : 38,436 = 38,436 : x
  2. Step 2: Convert to fraction form
    17,750/38,436 = 38,436/x
  3. Step 3: Cross multiply
    17,750x = 38,436 × 38,436
  4. Step 4: Simplify right side
    17,750x = 1,477,326,096
  5. Step 5: Solve for x
    x = 1,477,326,096/17,750
  6. Step 6: Final answer
    x = 83,229.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.