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Finding the Third Proportional to 28,265 and 41,917

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Solution

The third proportional to 28,265 and 41,917 is: 62,162.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,265 : 41,917 = 41,917 : x
  2. Step 2: Convert to fraction form
    28,265/41,917 = 41,917/x
  3. Step 3: Cross multiply
    28,265x = 41,917 × 41,917
  4. Step 4: Simplify right side
    28,265x = 1,757,034,889
  5. Step 5: Solve for x
    x = 1,757,034,889/28,265
  6. Step 6: Final answer
    x = 62,162.92

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.