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Finding the Third Proportional to 1,746 and 2,691

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Solution

The third proportional to 1,746 and 2,691 is: 4,147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746 : 2,691 = 2,691 : x
  2. Step 2: Convert to fraction form
    1,746/2,691 = 2,691/x
  3. Step 3: Cross multiply
    1,746x = 2,691 × 2,691
  4. Step 4: Simplify right side
    1,746x = 7,241,481
  5. Step 5: Solve for x
    x = 7,241,481/1,746
  6. Step 6: Final answer
    x = 4,147.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.