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Finding the Third Proportional to 19,847.21 and 42,572.46

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Solution

The third proportional to 19,847.21 and 42,572.46 is: 91,318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,847.21 : 42,572.46 = 42,572.46 : x
  2. Step 2: Convert to fraction form
    19,847.21/42,572.46 = 42,572.46/x
  3. Step 3: Cross multiply
    19,847.21x = 42,572.46 × 42,572.46
  4. Step 4: Simplify right side
    19,847.21x = 1,812,414,430.27
  5. Step 5: Solve for x
    x = 1,812,414,430.27/19,847.21
  6. Step 6: Final answer
    x = 91,318.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.