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Finding the Third Proportional to 15,530.50 and 20,691.75

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Solution

The third proportional to 15,530.50 and 20,691.75 is: 27,568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,530.50 : 20,691.75 = 20,691.75 : x
  2. Step 2: Convert to fraction form
    15,530.50/20,691.75 = 20,691.75/x
  3. Step 3: Cross multiply
    15,530.50x = 20,691.75 × 20,691.75
  4. Step 4: Simplify right side
    15,530.50x = 428,148,518.06
  5. Step 5: Solve for x
    x = 428,148,518.06/15,530.50
  6. Step 6: Final answer
    x = 27,568.24

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.