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Finding the Third Proportional to 10,033.31 and 21,981.94

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Solution

The third proportional to 10,033.31 and 21,981.94 is: 48,160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.31 : 21,981.94 = 21,981.94 : x
  2. Step 2: Convert to fraction form
    10,033.31/21,981.94 = 21,981.94/x
  3. Step 3: Cross multiply
    10,033.31x = 21,981.94 × 21,981.94
  4. Step 4: Simplify right side
    10,033.31x = 483,205,576.25
  5. Step 5: Solve for x
    x = 483,205,576.25/10,033.31
  6. Step 6: Final answer
    x = 48,160.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.