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Finding the Third Proportional to 3,870 and 5,731

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Solution

The third proportional to 3,870 and 5,731 is: 8,486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870 : 5,731 = 5,731 : x
  2. Step 2: Convert to fraction form
    3,870/5,731 = 5,731/x
  3. Step 3: Cross multiply
    3,870x = 5,731 × 5,731
  4. Step 4: Simplify right side
    3,870x = 32,844,361
  5. Step 5: Solve for x
    x = 32,844,361/3,870
  6. Step 6: Final answer
    x = 8,486.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.