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Finding the Third Proportional to 4,876.25 and 10,748.50

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Solution

The third proportional to 4,876.25 and 10,748.50 is: 23,692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.25 : 10,748.50 = 10,748.50 : x
  2. Step 2: Convert to fraction form
    4,876.25/10,748.50 = 10,748.50/x
  3. Step 3: Cross multiply
    4,876.25x = 10,748.50 × 10,748.50
  4. Step 4: Simplify right side
    4,876.25x = 115,530,252.25
  5. Step 5: Solve for x
    x = 115,530,252.25/4,876.25
  6. Step 6: Final answer
    x = 23,692.44

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