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Finding the Third Proportional to 9,858 and 21,903

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Solution

The third proportional to 9,858 and 21,903 is: 48,665.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858 : 21,903 = 21,903 : x
  2. Step 2: Convert to fraction form
    9,858/21,903 = 21,903/x
  3. Step 3: Cross multiply
    9,858x = 21,903 × 21,903
  4. Step 4: Simplify right side
    9,858x = 479,741,409
  5. Step 5: Solve for x
    x = 479,741,409/9,858
  6. Step 6: Final answer
    x = 48,665.19

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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.