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Finding the Third Proportional to 38,362 and 61,067.50

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Solution

The third proportional to 38,362 and 61,067.50 is: 97,211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,362 : 61,067.50 = 61,067.50 : x
  2. Step 2: Convert to fraction form
    38,362/61,067.50 = 61,067.50/x
  3. Step 3: Cross multiply
    38,362x = 61,067.50 × 61,067.50
  4. Step 4: Simplify right side
    38,362x = 3,729,239,556.25
  5. Step 5: Solve for x
    x = 3,729,239,556.25/38,362
  6. Step 6: Final answer
    x = 97,211.81

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.