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Finding the Third Proportional to 7,230.94 and 15,742.69

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Solution

The third proportional to 7,230.94 and 15,742.69 is: 34,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.94 : 15,742.69 = 15,742.69 : x
  2. Step 2: Convert to fraction form
    7,230.94/15,742.69 = 15,742.69/x
  3. Step 3: Cross multiply
    7,230.94x = 15,742.69 × 15,742.69
  4. Step 4: Simplify right side
    7,230.94x = 247,832,209.72
  5. Step 5: Solve for x
    x = 247,832,209.72/7,230.94
  6. Step 6: Final answer
    x = 34,273.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.