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Finding the Third Proportional to 8,821.50 and 9,744

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Solution

The third proportional to 8,821.50 and 9,744 is: 10,762.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.50 : 9,744 = 9,744 : x
  2. Step 2: Convert to fraction form
    8,821.50/9,744 = 9,744/x
  3. Step 3: Cross multiply
    8,821.50x = 9,744 × 9,744
  4. Step 4: Simplify right side
    8,821.50x = 94,945,536
  5. Step 5: Solve for x
    x = 94,945,536/8,821.50
  6. Step 6: Final answer
    x = 10,762.97

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.