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Finding the Third Proportional to 8,234 and 12,352

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Solution

The third proportional to 8,234 and 12,352 is: 18,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234 : 12,352 = 12,352 : x
  2. Step 2: Convert to fraction form
    8,234/12,352 = 12,352/x
  3. Step 3: Cross multiply
    8,234x = 12,352 × 12,352
  4. Step 4: Simplify right side
    8,234x = 152,571,904
  5. Step 5: Solve for x
    x = 152,571,904/8,234
  6. Step 6: Final answer
    x = 18,529.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.