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Finding the Third Proportional to 22,034.95 and 33,568.97

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Solution

The third proportional to 22,034.95 and 33,568.97 is: 51,140.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,034.95 : 33,568.97 = 33,568.97 : x
  2. Step 2: Convert to fraction form
    22,034.95/33,568.97 = 33,568.97/x
  3. Step 3: Cross multiply
    22,034.95x = 33,568.97 × 33,568.97
  4. Step 4: Simplify right side
    22,034.95x = 1,126,875,662.94
  5. Step 5: Solve for x
    x = 1,126,875,662.94/22,034.95
  6. Step 6: Final answer
    x = 51,140.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.