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Finding the Third Proportional to 7,848 and 8,668

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Solution

The third proportional to 7,848 and 8,668 is: 9,573.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848 : 8,668 = 8,668 : x
  2. Step 2: Convert to fraction form
    7,848/8,668 = 8,668/x
  3. Step 3: Cross multiply
    7,848x = 8,668 × 8,668
  4. Step 4: Simplify right side
    7,848x = 75,134,224
  5. Step 5: Solve for x
    x = 75,134,224/7,848
  6. Step 6: Final answer
    x = 9,573.68

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.