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Finding the Third Proportional to 17,808.61 and 38,000.67

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Solution

The third proportional to 17,808.61 and 38,000.67 is: 81,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,808.61 : 38,000.67 = 38,000.67 : x
  2. Step 2: Convert to fraction form
    17,808.61/38,000.67 = 38,000.67/x
  3. Step 3: Cross multiply
    17,808.61x = 38,000.67 × 38,000.67
  4. Step 4: Simplify right side
    17,808.61x = 1,444,051,062.95
  5. Step 5: Solve for x
    x = 1,444,051,062.95/17,808.61
  6. Step 6: Final answer
    x = 81,087.24

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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.