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Finding the Third Proportional to 3,910.78 and 6,271.17

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Solution

The third proportional to 3,910.78 and 6,271.17 is: 10,056.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.78 : 6,271.17 = 6,271.17 : x
  2. Step 2: Convert to fraction form
    3,910.78/6,271.17 = 6,271.17/x
  3. Step 3: Cross multiply
    3,910.78x = 6,271.17 × 6,271.17
  4. Step 4: Simplify right side
    3,910.78x = 39,327,596.69
  5. Step 5: Solve for x
    x = 39,327,596.69/3,910.78
  6. Step 6: Final answer
    x = 10,056.20

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.