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Finding the Third Proportional to 24,766 and 51,980

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Solution

The third proportional to 24,766 and 51,980 is: 109,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,766 : 51,980 = 51,980 : x
  2. Step 2: Convert to fraction form
    24,766/51,980 = 51,980/x
  3. Step 3: Cross multiply
    24,766x = 51,980 × 51,980
  4. Step 4: Simplify right side
    24,766x = 2,701,920,400
  5. Step 5: Solve for x
    x = 2,701,920,400/24,766
  6. Step 6: Final answer
    x = 109,097.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.