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Finding the Third Proportional to 7,848 and 16,344

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Solution

The third proportional to 7,848 and 16,344 is: 34,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848 : 16,344 = 16,344 : x
  2. Step 2: Convert to fraction form
    7,848/16,344 = 16,344/x
  3. Step 3: Cross multiply
    7,848x = 16,344 × 16,344
  4. Step 4: Simplify right side
    7,848x = 267,126,336
  5. Step 5: Solve for x
    x = 267,126,336/7,848
  6. Step 6: Final answer
    x = 34,037.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.