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Finding the Third Proportional to 1,586 and 2,331

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Solution

The third proportional to 1,586 and 2,331 is: 3,425.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586 : 2,331 = 2,331 : x
  2. Step 2: Convert to fraction form
    1,586/2,331 = 2,331/x
  3. Step 3: Cross multiply
    1,586x = 2,331 × 2,331
  4. Step 4: Simplify right side
    1,586x = 5,433,561
  5. Step 5: Solve for x
    x = 5,433,561/1,586
  6. Step 6: Final answer
    x = 3,425.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.