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Finding the Third Proportional to 32,693 and 43,171

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Solution

The third proportional to 32,693 and 43,171 is: 57,007.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,693 : 43,171 = 43,171 : x
  2. Step 2: Convert to fraction form
    32,693/43,171 = 43,171/x
  3. Step 3: Cross multiply
    32,693x = 43,171 × 43,171
  4. Step 4: Simplify right side
    32,693x = 1,863,735,241
  5. Step 5: Solve for x
    x = 1,863,735,241/32,693
  6. Step 6: Final answer
    x = 57,007.16

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.