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Finding the Third Proportional to 7,310.75 and 10,670

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Solution

The third proportional to 7,310.75 and 10,670 is: 15,572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.75 : 10,670 = 10,670 : x
  2. Step 2: Convert to fraction form
    7,310.75/10,670 = 10,670/x
  3. Step 3: Cross multiply
    7,310.75x = 10,670 × 10,670
  4. Step 4: Simplify right side
    7,310.75x = 113,848,900
  5. Step 5: Solve for x
    x = 113,848,900/7,310.75
  6. Step 6: Final answer
    x = 15,572.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.