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Finding the Third Proportional to 15,215 and 32,677

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Solution

The third proportional to 15,215 and 32,677 is: 70,179.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,215 : 32,677 = 32,677 : x
  2. Step 2: Convert to fraction form
    15,215/32,677 = 32,677/x
  3. Step 3: Cross multiply
    15,215x = 32,677 × 32,677
  4. Step 4: Simplify right side
    15,215x = 1,067,786,329
  5. Step 5: Solve for x
    x = 1,067,786,329/15,215
  6. Step 6: Final answer
    x = 70,179.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.