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Finding the Third Proportional to 38,808.75 and 83,845.50

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Solution

The third proportional to 38,808.75 and 83,845.50 is: 181,146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,808.75 : 83,845.50 = 83,845.50 : x
  2. Step 2: Convert to fraction form
    38,808.75/83,845.50 = 83,845.50/x
  3. Step 3: Cross multiply
    38,808.75x = 83,845.50 × 83,845.50
  4. Step 4: Simplify right side
    38,808.75x = 7,030,067,870.25
  5. Step 5: Solve for x
    x = 7,030,067,870.25/38,808.75
  6. Step 6: Final answer
    x = 181,146.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.