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Finding the Third Proportional to 21,827.81 and 33,376.11

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Solution

The third proportional to 21,827.81 and 33,376.11 is: 51,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,827.81 : 33,376.11 = 33,376.11 : x
  2. Step 2: Convert to fraction form
    21,827.81/33,376.11 = 33,376.11/x
  3. Step 3: Cross multiply
    21,827.81x = 33,376.11 × 33,376.11
  4. Step 4: Simplify right side
    21,827.81x = 1,113,964,937.76
  5. Step 5: Solve for x
    x = 1,113,964,937.76/21,827.81
  6. Step 6: Final answer
    x = 51,034.20

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.