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Finding the Third Proportional to 8,277 and 17,739

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Solution

The third proportional to 8,277 and 17,739 is: 38,017.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277 : 17,739 = 17,739 : x
  2. Step 2: Convert to fraction form
    8,277/17,739 = 17,739/x
  3. Step 3: Cross multiply
    8,277x = 17,739 × 17,739
  4. Step 4: Simplify right side
    8,277x = 314,672,121
  5. Step 5: Solve for x
    x = 314,672,121/8,277
  6. Step 6: Final answer
    x = 38,017.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.