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Finding the Third Proportional to 7,190.44 and 15,715.69

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Solution

The third proportional to 7,190.44 and 15,715.69 is: 34,348.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.44 : 15,715.69 = 15,715.69 : x
  2. Step 2: Convert to fraction form
    7,190.44/15,715.69 = 15,715.69/x
  3. Step 3: Cross multiply
    7,190.44x = 15,715.69 × 15,715.69
  4. Step 4: Simplify right side
    7,190.44x = 246,982,833.60
  5. Step 5: Solve for x
    x = 246,982,833.60/7,190.44
  6. Step 6: Final answer
    x = 34,348.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.