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Finding the Third Proportional to 10,244.75 and 15,579.69

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Solution

The third proportional to 10,244.75 and 15,579.69 is: 23,692.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.75 : 15,579.69 = 15,579.69 : x
  2. Step 2: Convert to fraction form
    10,244.75/15,579.69 = 15,579.69/x
  3. Step 3: Cross multiply
    10,244.75x = 15,579.69 × 15,579.69
  4. Step 4: Simplify right side
    10,244.75x = 242,726,662.60
  5. Step 5: Solve for x
    x = 242,726,662.60/10,244.75
  6. Step 6: Final answer
    x = 23,692.79

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.