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Finding the Third Proportional to 2,371 and 2,731

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Solution

The third proportional to 2,371 and 2,731 is: 3,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371 : 2,731 = 2,731 : x
  2. Step 2: Convert to fraction form
    2,371/2,731 = 2,731/x
  3. Step 3: Cross multiply
    2,371x = 2,731 × 2,731
  4. Step 4: Simplify right side
    2,371x = 7,458,361
  5. Step 5: Solve for x
    x = 7,458,361/2,371
  6. Step 6: Final answer
    x = 3,145.66

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.