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Finding the Third Proportional to 6,728.91 and 9,632.25

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Solution

The third proportional to 6,728.91 and 9,632.25 is: 13,788.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.91 : 9,632.25 = 9,632.25 : x
  2. Step 2: Convert to fraction form
    6,728.91/9,632.25 = 9,632.25/x
  3. Step 3: Cross multiply
    6,728.91x = 9,632.25 × 9,632.25
  4. Step 4: Simplify right side
    6,728.91x = 92,780,240.06
  5. Step 5: Solve for x
    x = 92,780,240.06/6,728.91
  6. Step 6: Final answer
    x = 13,788.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.