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Finding the Third Proportional to 48,726 and 62,067

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Solution

The third proportional to 48,726 and 62,067 is: 79,060.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,726 : 62,067 = 62,067 : x
  2. Step 2: Convert to fraction form
    48,726/62,067 = 62,067/x
  3. Step 3: Cross multiply
    48,726x = 62,067 × 62,067
  4. Step 4: Simplify right side
    48,726x = 3,852,312,489
  5. Step 5: Solve for x
    x = 3,852,312,489/48,726
  6. Step 6: Final answer
    x = 79,060.72

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.