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Finding the Third Proportional to 21,902.75 and 34,313.78

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Solution

The third proportional to 21,902.75 and 34,313.78 is: 53,757.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902.75 : 34,313.78 = 34,313.78 : x
  2. Step 2: Convert to fraction form
    21,902.75/34,313.78 = 34,313.78/x
  3. Step 3: Cross multiply
    21,902.75x = 34,313.78 × 34,313.78
  4. Step 4: Simplify right side
    21,902.75x = 1,177,435,717.71
  5. Step 5: Solve for x
    x = 1,177,435,717.71/21,902.75
  6. Step 6: Final answer
    x = 53,757.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.