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Finding the Third Proportional to 47,250 and 64,199

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Solution

The third proportional to 47,250 and 64,199 is: 87,227.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,250 : 64,199 = 64,199 : x
  2. Step 2: Convert to fraction form
    47,250/64,199 = 64,199/x
  3. Step 3: Cross multiply
    47,250x = 64,199 × 64,199
  4. Step 4: Simplify right side
    47,250x = 4,121,511,601
  5. Step 5: Solve for x
    x = 4,121,511,601/47,250
  6. Step 6: Final answer
    x = 87,227.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.