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Finding the Third Proportional to 2,269 and 5,065

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Solution

The third proportional to 2,269 and 5,065 is: 11,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269 : 5,065 = 5,065 : x
  2. Step 2: Convert to fraction form
    2,269/5,065 = 5,065/x
  3. Step 3: Cross multiply
    2,269x = 5,065 × 5,065
  4. Step 4: Simplify right side
    2,269x = 25,654,225
  5. Step 5: Solve for x
    x = 25,654,225/2,269
  6. Step 6: Final answer
    x = 11,306.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.