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Finding the Third Proportional to 32,371 and 43,158

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Solution

The third proportional to 32,371 and 43,158 is: 57,539.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,371 : 43,158 = 43,158 : x
  2. Step 2: Convert to fraction form
    32,371/43,158 = 43,158/x
  3. Step 3: Cross multiply
    32,371x = 43,158 × 43,158
  4. Step 4: Simplify right side
    32,371x = 1,862,612,964
  5. Step 5: Solve for x
    x = 1,862,612,964/32,371
  6. Step 6: Final answer
    x = 57,539.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.