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Finding the Third Proportional to 3,564 and 5,017

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Solution

The third proportional to 3,564 and 5,017 is: 7,062.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564 : 5,017 = 5,017 : x
  2. Step 2: Convert to fraction form
    3,564/5,017 = 5,017/x
  3. Step 3: Cross multiply
    3,564x = 5,017 × 5,017
  4. Step 4: Simplify right side
    3,564x = 25,170,289
  5. Step 5: Solve for x
    x = 25,170,289/3,564
  6. Step 6: Final answer
    x = 7,062.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.