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Finding the Third Proportional to 5,331.38 and 9,636.75

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Solution

The third proportional to 5,331.38 and 9,636.75 is: 17,418.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,331.38 : 9,636.75 = 9,636.75 : x
  2. Step 2: Convert to fraction form
    5,331.38/9,636.75 = 9,636.75/x
  3. Step 3: Cross multiply
    5,331.38x = 9,636.75 × 9,636.75
  4. Step 4: Simplify right side
    5,331.38x = 92,866,950.56
  5. Step 5: Solve for x
    x = 92,866,950.56/5,331.38
  6. Step 6: Final answer
    x = 17,418.95

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.