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Finding the Third Proportional to 9,660.94 and 10,693.69

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Solution

The third proportional to 9,660.94 and 10,693.69 is: 11,836.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.94 : 10,693.69 = 10,693.69 : x
  2. Step 2: Convert to fraction form
    9,660.94/10,693.69 = 10,693.69/x
  3. Step 3: Cross multiply
    9,660.94x = 10,693.69 × 10,693.69
  4. Step 4: Simplify right side
    9,660.94x = 114,354,952.35
  5. Step 5: Solve for x
    x = 114,354,952.35/9,660.94
  6. Step 6: Final answer
    x = 11,836.84

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.