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Finding the Third Proportional to 22,943.25 and 35,278.88

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Solution

The third proportional to 22,943.25 and 35,278.88 is: 54,246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,943.25 : 35,278.88 = 35,278.88 : x
  2. Step 2: Convert to fraction form
    22,943.25/35,278.88 = 35,278.88/x
  3. Step 3: Cross multiply
    22,943.25x = 35,278.88 × 35,278.88
  4. Step 4: Simplify right side
    22,943.25x = 1,244,599,021.27
  5. Step 5: Solve for x
    x = 1,244,599,021.27/22,943.25
  6. Step 6: Final answer
    x = 54,246.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.