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Finding the Third Proportional to 2,339 and 5,017

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Solution

The third proportional to 2,339 and 5,017 is: 10,761.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339 : 5,017 = 5,017 : x
  2. Step 2: Convert to fraction form
    2,339/5,017 = 5,017/x
  3. Step 3: Cross multiply
    2,339x = 5,017 × 5,017
  4. Step 4: Simplify right side
    2,339x = 25,170,289
  5. Step 5: Solve for x
    x = 25,170,289/2,339
  6. Step 6: Final answer
    x = 10,761.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.