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Finding the Third Proportional to 9,385.88 and 25,552.97

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Solution

The third proportional to 9,385.88 and 25,552.97 is: 69,567.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.88 : 25,552.97 = 25,552.97 : x
  2. Step 2: Convert to fraction form
    9,385.88/25,552.97 = 25,552.97/x
  3. Step 3: Cross multiply
    9,385.88x = 25,552.97 × 25,552.97
  4. Step 4: Simplify right side
    9,385.88x = 652,954,211.94
  5. Step 5: Solve for x
    x = 652,954,211.94/9,385.88
  6. Step 6: Final answer
    x = 69,567.75

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.