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Finding the Third Proportional to 17,932.64 and 39,403.97

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Solution

The third proportional to 17,932.64 and 39,403.97 is: 86,583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,932.64 : 39,403.97 = 39,403.97 : x
  2. Step 2: Convert to fraction form
    17,932.64/39,403.97 = 39,403.97/x
  3. Step 3: Cross multiply
    17,932.64x = 39,403.97 × 39,403.97
  4. Step 4: Simplify right side
    17,932.64x = 1,552,672,753.25
  5. Step 5: Solve for x
    x = 1,552,672,753.25/17,932.64
  6. Step 6: Final answer
    x = 86,583.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.