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Finding the Third Proportional to 19,651.50 and 38,317.50

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Solution

The third proportional to 19,651.50 and 38,317.50 is: 74,713.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,651.50 : 38,317.50 = 38,317.50 : x
  2. Step 2: Convert to fraction form
    19,651.50/38,317.50 = 38,317.50/x
  3. Step 3: Cross multiply
    19,651.50x = 38,317.50 × 38,317.50
  4. Step 4: Simplify right side
    19,651.50x = 1,468,230,806.25
  5. Step 5: Solve for x
    x = 1,468,230,806.25/19,651.50
  6. Step 6: Final answer
    x = 74,713.42

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.