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Finding the Third Proportional to 9,876 and 20,858

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Solution

The third proportional to 9,876 and 20,858 is: 44,051.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876 : 20,858 = 20,858 : x
  2. Step 2: Convert to fraction form
    9,876/20,858 = 20,858/x
  3. Step 3: Cross multiply
    9,876x = 20,858 × 20,858
  4. Step 4: Simplify right side
    9,876x = 435,056,164
  5. Step 5: Solve for x
    x = 435,056,164/9,876
  6. Step 6: Final answer
    x = 44,051.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.