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Finding the Third Proportional to 24,876 and 52,308

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Solution

The third proportional to 24,876 and 52,308 is: 109,990.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,876 : 52,308 = 52,308 : x
  2. Step 2: Convert to fraction form
    24,876/52,308 = 52,308/x
  3. Step 3: Cross multiply
    24,876x = 52,308 × 52,308
  4. Step 4: Simplify right side
    24,876x = 2,736,126,864
  5. Step 5: Solve for x
    x = 2,736,126,864/24,876
  6. Step 6: Final answer
    x = 109,990.63

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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.