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Finding the Third Proportional to 39,932 and 87,338

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Solution

The third proportional to 39,932 and 87,338 is: 191,022.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,932 : 87,338 = 87,338 : x
  2. Step 2: Convert to fraction form
    39,932/87,338 = 87,338/x
  3. Step 3: Cross multiply
    39,932x = 87,338 × 87,338
  4. Step 4: Simplify right side
    39,932x = 7,627,926,244
  5. Step 5: Solve for x
    x = 7,627,926,244/39,932
  6. Step 6: Final answer
    x = 191,022.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.