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Finding the Third Proportional to 17,764.31 and 39,104.44

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Solution

The third proportional to 17,764.31 and 39,104.44 is: 86,080.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764.31 : 39,104.44 = 39,104.44 : x
  2. Step 2: Convert to fraction form
    17,764.31/39,104.44 = 39,104.44/x
  3. Step 3: Cross multiply
    17,764.31x = 39,104.44 × 39,104.44
  4. Step 4: Simplify right side
    17,764.31x = 1,529,157,032.19
  5. Step 5: Solve for x
    x = 1,529,157,032.19/17,764.31
  6. Step 6: Final answer
    x = 86,080.28

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Why These Related Problems?

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