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Finding the Third Proportional to 7,538.06 and 11,081.39

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Solution

The third proportional to 7,538.06 and 11,081.39 is: 16,290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.06 : 11,081.39 = 11,081.39 : x
  2. Step 2: Convert to fraction form
    7,538.06/11,081.39 = 11,081.39/x
  3. Step 3: Cross multiply
    7,538.06x = 11,081.39 × 11,081.39
  4. Step 4: Simplify right side
    7,538.06x = 122,797,218.18
  5. Step 5: Solve for x
    x = 122,797,218.18/7,538.06
  6. Step 6: Final answer
    x = 16,290.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.