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Finding the Third Proportional to 5,215.01 and 11,467.99

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Solution

The third proportional to 5,215.01 and 11,467.99 is: 25,218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.01 : 11,467.99 = 11,467.99 : x
  2. Step 2: Convert to fraction form
    5,215.01/11,467.99 = 11,467.99/x
  3. Step 3: Cross multiply
    5,215.01x = 11,467.99 × 11,467.99
  4. Step 4: Simplify right side
    5,215.01x = 131,514,710.42
  5. Step 5: Solve for x
    x = 131,514,710.42/5,215.01
  6. Step 6: Final answer
    x = 25,218.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.