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Finding the Third Proportional to 1,229 and 2,659

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Solution

The third proportional to 1,229 and 2,659 is: 5,752.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229 : 2,659 = 2,659 : x
  2. Step 2: Convert to fraction form
    1,229/2,659 = 2,659/x
  3. Step 3: Cross multiply
    1,229x = 2,659 × 2,659
  4. Step 4: Simplify right side
    1,229x = 7,070,281
  5. Step 5: Solve for x
    x = 7,070,281/1,229
  6. Step 6: Final answer
    x = 5,752.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.