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Finding the Third Proportional to 21,832.59 and 33,815.81

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Solution

The third proportional to 21,832.59 and 33,815.81 is: 52,376.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832.59 : 33,815.81 = 33,815.81 : x
  2. Step 2: Convert to fraction form
    21,832.59/33,815.81 = 33,815.81/x
  3. Step 3: Cross multiply
    21,832.59x = 33,815.81 × 33,815.81
  4. Step 4: Simplify right side
    21,832.59x = 1,143,509,175.04
  5. Step 5: Solve for x
    x = 1,143,509,175.04/21,832.59
  6. Step 6: Final answer
    x = 52,376.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.