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Finding the Third Proportional to 6,998.06 and 11,145.94

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Solution

The third proportional to 6,998.06 and 11,145.94 is: 17,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.06 : 11,145.94 = 11,145.94 : x
  2. Step 2: Convert to fraction form
    6,998.06/11,145.94 = 11,145.94/x
  3. Step 3: Cross multiply
    6,998.06x = 11,145.94 × 11,145.94
  4. Step 4: Simplify right side
    6,998.06x = 124,231,922.75
  5. Step 5: Solve for x
    x = 124,231,922.75/6,998.06
  6. Step 6: Final answer
    x = 17,752.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.