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Finding the Third Proportional to 57,071 and 62,012

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Solution

The third proportional to 57,071 and 62,012 is: 67,380.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,071 : 62,012 = 62,012 : x
  2. Step 2: Convert to fraction form
    57,071/62,012 = 62,012/x
  3. Step 3: Cross multiply
    57,071x = 62,012 × 62,012
  4. Step 4: Simplify right side
    57,071x = 3,845,488,144
  5. Step 5: Solve for x
    x = 3,845,488,144/57,071
  6. Step 6: Final answer
    x = 67,380.77

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.