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Finding the Third Proportional to 22,578.75 and 33,541.88

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Solution

The third proportional to 22,578.75 and 33,541.88 is: 49,828.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.75 : 33,541.88 = 33,541.88 : x
  2. Step 2: Convert to fraction form
    22,578.75/33,541.88 = 33,541.88/x
  3. Step 3: Cross multiply
    22,578.75x = 33,541.88 × 33,541.88
  4. Step 4: Simplify right side
    22,578.75x = 1,125,057,378.52
  5. Step 5: Solve for x
    x = 1,125,057,378.52/22,578.75
  6. Step 6: Final answer
    x = 49,828.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.