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Finding the Third Proportional to 5,115.75 and 10,747.50

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Solution

The third proportional to 5,115.75 and 10,747.50 is: 22,579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.75 : 10,747.50 = 10,747.50 : x
  2. Step 2: Convert to fraction form
    5,115.75/10,747.50 = 10,747.50/x
  3. Step 3: Cross multiply
    5,115.75x = 10,747.50 × 10,747.50
  4. Step 4: Simplify right side
    5,115.75x = 115,508,756.25
  5. Step 5: Solve for x
    x = 115,508,756.25/5,115.75
  6. Step 6: Final answer
    x = 22,579.05

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.