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Finding the Third Proportional to 1,500.09 and 3,217.88

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Solution

The third proportional to 1,500.09 and 3,217.88 is: 6,902.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.09 : 3,217.88 = 3,217.88 : x
  2. Step 2: Convert to fraction form
    1,500.09/3,217.88 = 3,217.88/x
  3. Step 3: Cross multiply
    1,500.09x = 3,217.88 × 3,217.88
  4. Step 4: Simplify right side
    1,500.09x = 10,354,719.52
  5. Step 5: Solve for x
    x = 10,354,719.52/1,500.09
  6. Step 6: Final answer
    x = 6,902.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.