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Finding the Third Proportional to 9,640.27 and 11,007.14

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Solution

The third proportional to 9,640.27 and 11,007.14 is: 12,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.27 : 11,007.14 = 11,007.14 : x
  2. Step 2: Convert to fraction form
    9,640.27/11,007.14 = 11,007.14/x
  3. Step 3: Cross multiply
    9,640.27x = 11,007.14 × 11,007.14
  4. Step 4: Simplify right side
    9,640.27x = 121,157,144.74
  5. Step 5: Solve for x
    x = 121,157,144.74/9,640.27
  6. Step 6: Final answer
    x = 12,567.82

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.