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Finding the Third Proportional to 43,824.38 and 94,655.25

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Solution

The third proportional to 43,824.38 and 94,655.25 is: 204,443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,824.38 : 94,655.25 = 94,655.25 : x
  2. Step 2: Convert to fraction form
    43,824.38/94,655.25 = 94,655.25/x
  3. Step 3: Cross multiply
    43,824.38x = 94,655.25 × 94,655.25
  4. Step 4: Simplify right side
    43,824.38x = 8,959,616,352.56
  5. Step 5: Solve for x
    x = 8,959,616,352.56/43,824.38
  6. Step 6: Final answer
    x = 204,443.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.