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Finding the Third Proportional to 22,794.75 and 53,034.75

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Solution

The third proportional to 22,794.75 and 53,034.75 is: 123,391.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,794.75 : 53,034.75 = 53,034.75 : x
  2. Step 2: Convert to fraction form
    22,794.75/53,034.75 = 53,034.75/x
  3. Step 3: Cross multiply
    22,794.75x = 53,034.75 × 53,034.75
  4. Step 4: Simplify right side
    22,794.75x = 2,812,684,707.56
  5. Step 5: Solve for x
    x = 2,812,684,707.56/22,794.75
  6. Step 6: Final answer
    x = 123,391.78

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.