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Finding the Third Proportional to 7,578 and 8,172

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Solution

The third proportional to 7,578 and 8,172 is: 8,812.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578 : 8,172 = 8,172 : x
  2. Step 2: Convert to fraction form
    7,578/8,172 = 8,172/x
  3. Step 3: Cross multiply
    7,578x = 8,172 × 8,172
  4. Step 4: Simplify right side
    7,578x = 66,781,584
  5. Step 5: Solve for x
    x = 66,781,584/7,578
  6. Step 6: Final answer
    x = 8,812.56

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.