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Finding the Third Proportional to 9,877 and 21,941

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Solution

The third proportional to 9,877 and 21,941 is: 48,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877 : 21,941 = 21,941 : x
  2. Step 2: Convert to fraction form
    9,877/21,941 = 21,941/x
  3. Step 3: Cross multiply
    9,877x = 21,941 × 21,941
  4. Step 4: Simplify right side
    9,877x = 481,407,481
  5. Step 5: Solve for x
    x = 481,407,481/9,877
  6. Step 6: Final answer
    x = 48,740.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.