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Finding the Third Proportional to 7,582.50 and 16,692.75

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Solution

The third proportional to 7,582.50 and 16,692.75 is: 36,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.50 : 16,692.75 = 16,692.75 : x
  2. Step 2: Convert to fraction form
    7,582.50/16,692.75 = 16,692.75/x
  3. Step 3: Cross multiply
    7,582.50x = 16,692.75 × 16,692.75
  4. Step 4: Simplify right side
    7,582.50x = 278,647,902.56
  5. Step 5: Solve for x
    x = 278,647,902.56/7,582.50
  6. Step 6: Final answer
    x = 36,748.82

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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.