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Finding the Third Proportional to 6,728.06 and 9,264.38

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Solution

The third proportional to 6,728.06 and 9,264.38 is: 12,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.06 : 9,264.38 = 9,264.38 : x
  2. Step 2: Convert to fraction form
    6,728.06/9,264.38 = 9,264.38/x
  3. Step 3: Cross multiply
    6,728.06x = 9,264.38 × 9,264.38
  4. Step 4: Simplify right side
    6,728.06x = 85,828,644.14
  5. Step 5: Solve for x
    x = 85,828,644.14/6,728.06
  6. Step 6: Final answer
    x = 12,756.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.