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Finding the Third Proportional to 3,817.76 and 6,278.13

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Solution

The third proportional to 3,817.76 and 6,278.13 is: 10,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.76 : 6,278.13 = 6,278.13 : x
  2. Step 2: Convert to fraction form
    3,817.76/6,278.13 = 6,278.13/x
  3. Step 3: Cross multiply
    3,817.76x = 6,278.13 × 6,278.13
  4. Step 4: Simplify right side
    3,817.76x = 39,414,951.61
  5. Step 5: Solve for x
    x = 39,414,951.61/3,817.76
  6. Step 6: Final answer
    x = 10,324.11

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.