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Finding the Third Proportional to 1,297 and 2,882

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Solution

The third proportional to 1,297 and 2,882 is: 6,403.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297 : 2,882 = 2,882 : x
  2. Step 2: Convert to fraction form
    1,297/2,882 = 2,882/x
  3. Step 3: Cross multiply
    1,297x = 2,882 × 2,882
  4. Step 4: Simplify right side
    1,297x = 8,305,924
  5. Step 5: Solve for x
    x = 8,305,924/1,297
  6. Step 6: Final answer
    x = 6,403.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.