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Finding the Third Proportional to 38,016 and 55,858.50

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Solution

The third proportional to 38,016 and 55,858.50 is: 82,075.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,016 : 55,858.50 = 55,858.50 : x
  2. Step 2: Convert to fraction form
    38,016/55,858.50 = 55,858.50/x
  3. Step 3: Cross multiply
    38,016x = 55,858.50 × 55,858.50
  4. Step 4: Simplify right side
    38,016x = 3,120,172,022.25
  5. Step 5: Solve for x
    x = 3,120,172,022.25/38,016
  6. Step 6: Final answer
    x = 82,075.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.