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Finding the Third Proportional to 4,359 and 7,017

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Solution

The third proportional to 4,359 and 7,017 is: 11,295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,359 : 7,017 = 7,017 : x
  2. Step 2: Convert to fraction form
    4,359/7,017 = 7,017/x
  3. Step 3: Cross multiply
    4,359x = 7,017 × 7,017
  4. Step 4: Simplify right side
    4,359x = 49,238,289
  5. Step 5: Solve for x
    x = 49,238,289/4,359
  6. Step 6: Final answer
    x = 11,295.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.