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Finding the Third Proportional to 5,538.38 and 11,899.41

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Solution

The third proportional to 5,538.38 and 11,899.41 is: 25,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.38 : 11,899.41 = 11,899.41 : x
  2. Step 2: Convert to fraction form
    5,538.38/11,899.41 = 11,899.41/x
  3. Step 3: Cross multiply
    5,538.38x = 11,899.41 × 11,899.41
  4. Step 4: Simplify right side
    5,538.38x = 141,595,869.10
  5. Step 5: Solve for x
    x = 141,595,869.10/5,538.38
  6. Step 6: Final answer
    x = 25,566.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.