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Finding the Third Proportional to 19,774.13 and 40,596.19

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Solution

The third proportional to 19,774.13 and 40,596.19 is: 83,343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.13 : 40,596.19 = 40,596.19 : x
  2. Step 2: Convert to fraction form
    19,774.13/40,596.19 = 40,596.19/x
  3. Step 3: Cross multiply
    19,774.13x = 40,596.19 × 40,596.19
  4. Step 4: Simplify right side
    19,774.13x = 1,648,050,439.54
  5. Step 5: Solve for x
    x = 1,648,050,439.54/19,774.13
  6. Step 6: Final answer
    x = 83,343.79

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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.