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Finding the Third Proportional to 9,945.25 and 21,889.75

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Solution

The third proportional to 9,945.25 and 21,889.75 is: 48,179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945.25 : 21,889.75 = 21,889.75 : x
  2. Step 2: Convert to fraction form
    9,945.25/21,889.75 = 21,889.75/x
  3. Step 3: Cross multiply
    9,945.25x = 21,889.75 × 21,889.75
  4. Step 4: Simplify right side
    9,945.25x = 479,161,155.06
  5. Step 5: Solve for x
    x = 479,161,155.06/9,945.25
  6. Step 6: Final answer
    x = 48,179.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.