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Finding the Third Proportional to 9,087.19 and 21,092.91

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Solution

The third proportional to 9,087.19 and 21,092.91 is: 48,960.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,087.19 : 21,092.91 = 21,092.91 : x
  2. Step 2: Convert to fraction form
    9,087.19/21,092.91 = 21,092.91/x
  3. Step 3: Cross multiply
    9,087.19x = 21,092.91 × 21,092.91
  4. Step 4: Simplify right side
    9,087.19x = 444,910,694.07
  5. Step 5: Solve for x
    x = 444,910,694.07/9,087.19
  6. Step 6: Final answer
    x = 48,960.22

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.