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Finding the Third Proportional to 28,876 and 62,684

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Solution

The third proportional to 28,876 and 62,684 is: 136,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,876 : 62,684 = 62,684 : x
  2. Step 2: Convert to fraction form
    28,876/62,684 = 62,684/x
  3. Step 3: Cross multiply
    28,876x = 62,684 × 62,684
  4. Step 4: Simplify right side
    28,876x = 3,929,283,856
  5. Step 5: Solve for x
    x = 3,929,283,856/28,876
  6. Step 6: Final answer
    x = 136,074.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.