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Finding the Third Proportional to 10,033.88 and 21,981.38

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Solution

The third proportional to 10,033.88 and 21,981.38 is: 48,154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.88 : 21,981.38 = 21,981.38 : x
  2. Step 2: Convert to fraction form
    10,033.88/21,981.38 = 21,981.38/x
  3. Step 3: Cross multiply
    10,033.88x = 21,981.38 × 21,981.38
  4. Step 4: Simplify right side
    10,033.88x = 483,180,846.89
  5. Step 5: Solve for x
    x = 483,180,846.89/10,033.88
  6. Step 6: Final answer
    x = 48,154.96

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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.