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Finding the Third Proportional to 5,778 and 9,675

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Solution

The third proportional to 5,778 and 9,675 is: 16,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778 : 9,675 = 9,675 : x
  2. Step 2: Convert to fraction form
    5,778/9,675 = 9,675/x
  3. Step 3: Cross multiply
    5,778x = 9,675 × 9,675
  4. Step 4: Simplify right side
    5,778x = 93,605,625
  5. Step 5: Solve for x
    x = 93,605,625/5,778
  6. Step 6: Final answer
    x = 16,200.35

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.