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Finding the Third Proportional to 28,498 and 61,204

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Solution

The third proportional to 28,498 and 61,204 is: 131,445.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,498 : 61,204 = 61,204 : x
  2. Step 2: Convert to fraction form
    28,498/61,204 = 61,204/x
  3. Step 3: Cross multiply
    28,498x = 61,204 × 61,204
  4. Step 4: Simplify right side
    28,498x = 3,745,929,616
  5. Step 5: Solve for x
    x = 3,745,929,616/28,498
  6. Step 6: Final answer
    x = 131,445.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.