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Finding the Third Proportional to 10,206 and 11,107.13

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Solution

The third proportional to 10,206 and 11,107.13 is: 12,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206 : 11,107.13 = 11,107.13 : x
  2. Step 2: Convert to fraction form
    10,206/11,107.13 = 11,107.13/x
  3. Step 3: Cross multiply
    10,206x = 11,107.13 × 11,107.13
  4. Step 4: Simplify right side
    10,206x = 123,368,225.77
  5. Step 5: Solve for x
    x = 123,368,225.77/10,206
  6. Step 6: Final answer
    x = 12,087.81

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.