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Finding the Third Proportional to 2,714 and 3,569

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Solution

The third proportional to 2,714 and 3,569 is: 4,693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714 : 3,569 = 3,569 : x
  2. Step 2: Convert to fraction form
    2,714/3,569 = 3,569/x
  3. Step 3: Cross multiply
    2,714x = 3,569 × 3,569
  4. Step 4: Simplify right side
    2,714x = 12,737,761
  5. Step 5: Solve for x
    x = 12,737,761/2,714
  6. Step 6: Final answer
    x = 4,693.35

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.