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Finding the Third Proportional to 1,249 and 2,569

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Solution

The third proportional to 1,249 and 2,569 is: 5,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249 : 2,569 = 2,569 : x
  2. Step 2: Convert to fraction form
    1,249/2,569 = 2,569/x
  3. Step 3: Cross multiply
    1,249x = 2,569 × 2,569
  4. Step 4: Simplify right side
    1,249x = 6,599,761
  5. Step 5: Solve for x
    x = 6,599,761/1,249
  6. Step 6: Final answer
    x = 5,284.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.