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Finding the Third Proportional to 7,540.03 and 11,471.91

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Solution

The third proportional to 7,540.03 and 11,471.91 is: 17,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.03 : 11,471.91 = 11,471.91 : x
  2. Step 2: Convert to fraction form
    7,540.03/11,471.91 = 11,471.91/x
  3. Step 3: Cross multiply
    7,540.03x = 11,471.91 × 11,471.91
  4. Step 4: Simplify right side
    7,540.03x = 131,604,633.01
  5. Step 5: Solve for x
    x = 131,604,633.01/7,540.03
  6. Step 6: Final answer
    x = 17,454.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.