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Finding the Third Proportional to 6,697.69 and 9,601.03

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Solution

The third proportional to 6,697.69 and 9,601.03 is: 13,762.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.69 : 9,601.03 = 9,601.03 : x
  2. Step 2: Convert to fraction form
    6,697.69/9,601.03 = 9,601.03/x
  3. Step 3: Cross multiply
    6,697.69x = 9,601.03 × 9,601.03
  4. Step 4: Simplify right side
    6,697.69x = 92,179,801.06
  5. Step 5: Solve for x
    x = 92,179,801.06/6,697.69
  6. Step 6: Final answer
    x = 13,762.93

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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.