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Finding the Third Proportional to 9,876 and 14,110

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Solution

The third proportional to 9,876 and 14,110 is: 20,159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876 : 14,110 = 14,110 : x
  2. Step 2: Convert to fraction form
    9,876/14,110 = 14,110/x
  3. Step 3: Cross multiply
    9,876x = 14,110 × 14,110
  4. Step 4: Simplify right side
    9,876x = 199,092,100
  5. Step 5: Solve for x
    x = 199,092,100/9,876
  6. Step 6: Final answer
    x = 20,159.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.