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Finding the Third Proportional to 7,530 and 8,754

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Solution

The third proportional to 7,530 and 8,754 is: 10,176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530 : 8,754 = 8,754 : x
  2. Step 2: Convert to fraction form
    7,530/8,754 = 8,754/x
  3. Step 3: Cross multiply
    7,530x = 8,754 × 8,754
  4. Step 4: Simplify right side
    7,530x = 76,632,516
  5. Step 5: Solve for x
    x = 76,632,516/7,530
  6. Step 6: Final answer
    x = 10,176.96

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.