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Finding the Third Proportional to 28,649 and 42,016

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Solution

The third proportional to 28,649 and 42,016 is: 61,619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,649 : 42,016 = 42,016 : x
  2. Step 2: Convert to fraction form
    28,649/42,016 = 42,016/x
  3. Step 3: Cross multiply
    28,649x = 42,016 × 42,016
  4. Step 4: Simplify right side
    28,649x = 1,765,344,256
  5. Step 5: Solve for x
    x = 1,765,344,256/28,649
  6. Step 6: Final answer
    x = 61,619.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.