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Finding the Third Proportional to 15,205 and 32,680

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Solution

The third proportional to 15,205 and 32,680 is: 70,238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205 : 32,680 = 32,680 : x
  2. Step 2: Convert to fraction form
    15,205/32,680 = 32,680/x
  3. Step 3: Cross multiply
    15,205x = 32,680 × 32,680
  4. Step 4: Simplify right side
    15,205x = 1,067,982,400
  5. Step 5: Solve for x
    x = 1,067,982,400/15,205
  6. Step 6: Final answer
    x = 70,238.90

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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.