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Finding the Third Proportional to 7,546.13 and 16,578.75

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Solution

The third proportional to 7,546.13 and 16,578.75 is: 36,423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.13 : 16,578.75 = 16,578.75 : x
  2. Step 2: Convert to fraction form
    7,546.13/16,578.75 = 16,578.75/x
  3. Step 3: Cross multiply
    7,546.13x = 16,578.75 × 16,578.75
  4. Step 4: Simplify right side
    7,546.13x = 274,854,951.56
  5. Step 5: Solve for x
    x = 274,854,951.56/7,546.13
  6. Step 6: Final answer
    x = 36,423.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.