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Finding the Third Proportional to 19,184.34 and 39,291.19

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Solution

The third proportional to 19,184.34 and 39,291.19 is: 80,471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,184.34 : 39,291.19 = 39,291.19 : x
  2. Step 2: Convert to fraction form
    19,184.34/39,291.19 = 39,291.19/x
  3. Step 3: Cross multiply
    19,184.34x = 39,291.19 × 39,291.19
  4. Step 4: Simplify right side
    19,184.34x = 1,543,797,415.16
  5. Step 5: Solve for x
    x = 1,543,797,415.16/19,184.34
  6. Step 6: Final answer
    x = 80,471.73

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.