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Finding the Third Proportional to 8,051.48 and 17,443.27

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Solution

The third proportional to 8,051.48 and 17,443.27 is: 37,790.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.48 : 17,443.27 = 17,443.27 : x
  2. Step 2: Convert to fraction form
    8,051.48/17,443.27 = 17,443.27/x
  3. Step 3: Cross multiply
    8,051.48x = 17,443.27 × 17,443.27
  4. Step 4: Simplify right side
    8,051.48x = 304,267,515.66
  5. Step 5: Solve for x
    x = 304,267,515.66/8,051.48
  6. Step 6: Final answer
    x = 37,790.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.