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Finding the Third Proportional to 9,876 and 24,194

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Solution

The third proportional to 9,876 and 24,194 is: 59,269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876 : 24,194 = 24,194 : x
  2. Step 2: Convert to fraction form
    9,876/24,194 = 24,194/x
  3. Step 3: Cross multiply
    9,876x = 24,194 × 24,194
  4. Step 4: Simplify right side
    9,876x = 585,349,636
  5. Step 5: Solve for x
    x = 585,349,636/9,876
  6. Step 6: Final answer
    x = 59,269.91

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.