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Finding the Third Proportional to 20,215.13 and 42,981.75

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Solution

The third proportional to 20,215.13 and 42,981.75 is: 91,388.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,215.13 : 42,981.75 = 42,981.75 : x
  2. Step 2: Convert to fraction form
    20,215.13/42,981.75 = 42,981.75/x
  3. Step 3: Cross multiply
    20,215.13x = 42,981.75 × 42,981.75
  4. Step 4: Simplify right side
    20,215.13x = 1,847,430,833.06
  5. Step 5: Solve for x
    x = 1,847,430,833.06/20,215.13
  6. Step 6: Final answer
    x = 91,388.54

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.