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Finding the Third Proportional to 31,928 and 43,352

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Solution

The third proportional to 31,928 and 43,352 is: 58,863.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,928 : 43,352 = 43,352 : x
  2. Step 2: Convert to fraction form
    31,928/43,352 = 43,352/x
  3. Step 3: Cross multiply
    31,928x = 43,352 × 43,352
  4. Step 4: Simplify right side
    31,928x = 1,879,395,904
  5. Step 5: Solve for x
    x = 1,879,395,904/31,928
  6. Step 6: Final answer
    x = 58,863.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.