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Finding the Third Proportional to 1,291 and 2,657

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Solution

The third proportional to 1,291 and 2,657 is: 5,468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291 : 2,657 = 2,657 : x
  2. Step 2: Convert to fraction form
    1,291/2,657 = 2,657/x
  3. Step 3: Cross multiply
    1,291x = 2,657 × 2,657
  4. Step 4: Simplify right side
    1,291x = 7,059,649
  5. Step 5: Solve for x
    x = 7,059,649/1,291
  6. Step 6: Final answer
    x = 5,468.36

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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.