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Finding the Third Proportional to 7,134 and 15,330

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Solution

The third proportional to 7,134 and 15,330 is: 32,942.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134 : 15,330 = 15,330 : x
  2. Step 2: Convert to fraction form
    7,134/15,330 = 15,330/x
  3. Step 3: Cross multiply
    7,134x = 15,330 × 15,330
  4. Step 4: Simplify right side
    7,134x = 235,008,900
  5. Step 5: Solve for x
    x = 235,008,900/7,134
  6. Step 6: Final answer
    x = 32,942.09

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Why These Related Problems?

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