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Finding the Third Proportional to 8,051.44 and 17,208.47

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Solution

The third proportional to 8,051.44 and 17,208.47 is: 36,779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.44 : 17,208.47 = 17,208.47 : x
  2. Step 2: Convert to fraction form
    8,051.44/17,208.47 = 17,208.47/x
  3. Step 3: Cross multiply
    8,051.44x = 17,208.47 × 17,208.47
  4. Step 4: Simplify right side
    8,051.44x = 296,131,396.72
  5. Step 5: Solve for x
    x = 296,131,396.72/8,051.44
  6. Step 6: Final answer
    x = 36,779.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.