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Finding the Third Proportional to 9,892.97 and 21,000.94

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Solution

The third proportional to 9,892.97 and 21,000.94 is: 44,581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.97 : 21,000.94 = 21,000.94 : x
  2. Step 2: Convert to fraction form
    9,892.97/21,000.94 = 21,000.94/x
  3. Step 3: Cross multiply
    9,892.97x = 21,000.94 × 21,000.94
  4. Step 4: Simplify right side
    9,892.97x = 441,039,375.88
  5. Step 5: Solve for x
    x = 441,039,375.88/9,892.97
  6. Step 6: Final answer
    x = 44,581.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.