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Finding the Third Proportional to 9,087.82 and 19,274.20

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Solution

The third proportional to 9,087.82 and 19,274.20 is: 40,878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,087.82 : 19,274.20 = 19,274.20 : x
  2. Step 2: Convert to fraction form
    9,087.82/19,274.20 = 19,274.20/x
  3. Step 3: Cross multiply
    9,087.82x = 19,274.20 × 19,274.20
  4. Step 4: Simplify right side
    9,087.82x = 371,494,906.10
  5. Step 5: Solve for x
    x = 371,494,906.10/9,087.82
  6. Step 6: Final answer
    x = 40,878.33

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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.