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Finding the Third Proportional to 23,635.13 and 35,286.19

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Solution

The third proportional to 23,635.13 and 35,286.19 is: 52,680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,635.13 : 35,286.19 = 35,286.19 : x
  2. Step 2: Convert to fraction form
    23,635.13/35,286.19 = 35,286.19/x
  3. Step 3: Cross multiply
    23,635.13x = 35,286.19 × 35,286.19
  4. Step 4: Simplify right side
    23,635.13x = 1,245,115,028.29
  5. Step 5: Solve for x
    x = 1,245,115,028.29/23,635.13
  6. Step 6: Final answer
    x = 52,680.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.