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Finding the Third Proportional to 7,677 and 12,285

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Solution

The third proportional to 7,677 and 12,285 is: 19,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677 : 12,285 = 12,285 : x
  2. Step 2: Convert to fraction form
    7,677/12,285 = 12,285/x
  3. Step 3: Cross multiply
    7,677x = 12,285 × 12,285
  4. Step 4: Simplify right side
    7,677x = 150,921,225
  5. Step 5: Solve for x
    x = 150,921,225/7,677
  6. Step 6: Final answer
    x = 19,658.88

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.