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Finding the Third Proportional to 1,229 and 2,963

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Solution

The third proportional to 1,229 and 2,963 is: 7,143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229 : 2,963 = 2,963 : x
  2. Step 2: Convert to fraction form
    1,229/2,963 = 2,963/x
  3. Step 3: Cross multiply
    1,229x = 2,963 × 2,963
  4. Step 4: Simplify right side
    1,229x = 8,779,369
  5. Step 5: Solve for x
    x = 8,779,369/1,229
  6. Step 6: Final answer
    x = 7,143.51

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.