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Finding the Third Proportional to 15,676 and 33,478

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Solution

The third proportional to 15,676 and 33,478 is: 71,496.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676 : 33,478 = 33,478 : x
  2. Step 2: Convert to fraction form
    15,676/33,478 = 33,478/x
  3. Step 3: Cross multiply
    15,676x = 33,478 × 33,478
  4. Step 4: Simplify right side
    15,676x = 1,120,776,484
  5. Step 5: Solve for x
    x = 1,120,776,484/15,676
  6. Step 6: Final answer
    x = 71,496.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.