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Finding the Third Proportional to 1,229 and 2,899

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Solution

The third proportional to 1,229 and 2,899 is: 6,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229 : 2,899 = 2,899 : x
  2. Step 2: Convert to fraction form
    1,229/2,899 = 2,899/x
  3. Step 3: Cross multiply
    1,229x = 2,899 × 2,899
  4. Step 4: Simplify right side
    1,229x = 8,404,201
  5. Step 5: Solve for x
    x = 8,404,201/1,229
  6. Step 6: Final answer
    x = 6,838.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.