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Finding the Third Proportional to 49,855.50 and 74,819.32

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Solution

The third proportional to 49,855.50 and 74,819.32 is: 112,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,855.50 : 74,819.32 = 74,819.32 : x
  2. Step 2: Convert to fraction form
    49,855.50/74,819.32 = 74,819.32/x
  3. Step 3: Cross multiply
    49,855.50x = 74,819.32 × 74,819.32
  4. Step 4: Simplify right side
    49,855.50x = 5,597,930,692.02
  5. Step 5: Solve for x
    x = 5,597,930,692.02/49,855.50
  6. Step 6: Final answer
    x = 112,283.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.