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Finding the Third Proportional to 6,816 and 9,159.75

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Solution

The third proportional to 6,816 and 9,159.75 is: 12,309.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816 : 9,159.75 = 9,159.75 : x
  2. Step 2: Convert to fraction form
    6,816/9,159.75 = 9,159.75/x
  3. Step 3: Cross multiply
    6,816x = 9,159.75 × 9,159.75
  4. Step 4: Simplify right side
    6,816x = 83,901,020.06
  5. Step 5: Solve for x
    x = 83,901,020.06/6,816
  6. Step 6: Final answer
    x = 12,309.42

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.