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

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Solution

The third proportional to 2,269 and 5,429 is: 12,989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269 : 5,429 = 5,429 : x
  2. Step 2: Convert to fraction form
    2,269/5,429 = 5,429/x
  3. Step 3: Cross multiply
    2,269x = 5,429 × 5,429
  4. Step 4: Simplify right side
    2,269x = 29,474,041
  5. Step 5: Solve for x
    x = 29,474,041/2,269
  6. Step 6: Final answer
    x = 12,989.88

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.