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Finding the Third Proportional to 7,103.25 and 11,118.38

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Solution

The third proportional to 7,103.25 and 11,118.38 is: 17,403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.25 : 11,118.38 = 11,118.38 : x
  2. Step 2: Convert to fraction form
    7,103.25/11,118.38 = 11,118.38/x
  3. Step 3: Cross multiply
    7,103.25x = 11,118.38 × 11,118.38
  4. Step 4: Simplify right side
    7,103.25x = 123,618,262.64
  5. Step 5: Solve for x
    x = 123,618,262.64/7,103.25
  6. Step 6: Final answer
    x = 17,403.06

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.