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Finding the Third Proportional to 19,847.25 and 28,211.63

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Solution

The third proportional to 19,847.25 and 28,211.63 is: 40,101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,847.25 : 28,211.63 = 28,211.63 : x
  2. Step 2: Convert to fraction form
    19,847.25/28,211.63 = 28,211.63/x
  3. Step 3: Cross multiply
    19,847.25x = 28,211.63 × 28,211.63
  4. Step 4: Simplify right side
    19,847.25x = 795,895,785.14
  5. Step 5: Solve for x
    x = 795,895,785.14/19,847.25
  6. Step 6: Final answer
    x = 40,101.06

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.