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Finding the Third Proportional to 17,985 and 38,330.50

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Solution

The third proportional to 17,985 and 38,330.50 is: 81,691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,985 : 38,330.50 = 38,330.50 : x
  2. Step 2: Convert to fraction form
    17,985/38,330.50 = 38,330.50/x
  3. Step 3: Cross multiply
    17,985x = 38,330.50 × 38,330.50
  4. Step 4: Simplify right side
    17,985x = 1,469,227,230.25
  5. Step 5: Solve for x
    x = 1,469,227,230.25/17,985
  6. Step 6: Final answer
    x = 81,691.81

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.