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Finding the Third Proportional to 3,588.38 and 7,484.44

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Solution

The third proportional to 3,588.38 and 7,484.44 is: 15,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.38 : 7,484.44 = 7,484.44 : x
  2. Step 2: Convert to fraction form
    3,588.38/7,484.44 = 7,484.44/x
  3. Step 3: Cross multiply
    3,588.38x = 7,484.44 × 7,484.44
  4. Step 4: Simplify right side
    3,588.38x = 56,016,804.69
  5. Step 5: Solve for x
    x = 56,016,804.69/3,588.38
  6. Step 6: Final answer
    x = 15,610.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.