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Finding the Third Proportional to 5,087.39 and 10,998.07

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Solution

The third proportional to 5,087.39 and 10,998.07 is: 23,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,087.39 : 10,998.07 = 10,998.07 : x
  2. Step 2: Convert to fraction form
    5,087.39/10,998.07 = 10,998.07/x
  3. Step 3: Cross multiply
    5,087.39x = 10,998.07 × 10,998.07
  4. Step 4: Simplify right side
    5,087.39x = 120,957,550.60
  5. Step 5: Solve for x
    x = 120,957,550.60/5,087.39
  6. Step 6: Final answer
    x = 23,775.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.