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Finding the Third Proportional to 6,864 and 9,553.50

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Solution

The third proportional to 6,864 and 9,553.50 is: 13,296.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864 : 9,553.50 = 9,553.50 : x
  2. Step 2: Convert to fraction form
    6,864/9,553.50 = 9,553.50/x
  3. Step 3: Cross multiply
    6,864x = 9,553.50 × 9,553.50
  4. Step 4: Simplify right side
    6,864x = 91,269,362.25
  5. Step 5: Solve for x
    x = 91,269,362.25/6,864
  6. Step 6: Final answer
    x = 13,296.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.