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Finding the Third Proportional to 9,850.50 and 26,631

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Solution

The third proportional to 9,850.50 and 26,631 is: 71,997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.50 : 26,631 = 26,631 : x
  2. Step 2: Convert to fraction form
    9,850.50/26,631 = 26,631/x
  3. Step 3: Cross multiply
    9,850.50x = 26,631 × 26,631
  4. Step 4: Simplify right side
    9,850.50x = 709,210,161
  5. Step 5: Solve for x
    x = 709,210,161/9,850.50
  6. Step 6: Final answer
    x = 71,997.38

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.