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Finding the Third Proportional to 32,877 and 71,892

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Solution

The third proportional to 32,877 and 71,892 is: 157,205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,877 : 71,892 = 71,892 : x
  2. Step 2: Convert to fraction form
    32,877/71,892 = 71,892/x
  3. Step 3: Cross multiply
    32,877x = 71,892 × 71,892
  4. Step 4: Simplify right side
    32,877x = 5,168,459,664
  5. Step 5: Solve for x
    x = 5,168,459,664/32,877
  6. Step 6: Final answer
    x = 157,205.94

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