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Finding the Third Proportional to 15,950 and 32,698

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Solution

The third proportional to 15,950 and 32,698 is: 67,031.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,950 : 32,698 = 32,698 : x
  2. Step 2: Convert to fraction form
    15,950/32,698 = 32,698/x
  3. Step 3: Cross multiply
    15,950x = 32,698 × 32,698
  4. Step 4: Simplify right side
    15,950x = 1,069,159,204
  5. Step 5: Solve for x
    x = 1,069,159,204/15,950
  6. Step 6: Final answer
    x = 67,031.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.