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Finding the Third Proportional to 2,429 and 5,269

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Solution

The third proportional to 2,429 and 5,269 is: 11,429.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429 : 5,269 = 5,269 : x
  2. Step 2: Convert to fraction form
    2,429/5,269 = 5,269/x
  3. Step 3: Cross multiply
    2,429x = 5,269 × 5,269
  4. Step 4: Simplify right side
    2,429x = 27,762,361
  5. Step 5: Solve for x
    x = 27,762,361/2,429
  6. Step 6: Final answer
    x = 11,429.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.