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Finding the Third Proportional to 7,852.69 and 17,090.44

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Solution

The third proportional to 7,852.69 and 17,090.44 is: 37,195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.69 : 17,090.44 = 17,090.44 : x
  2. Step 2: Convert to fraction form
    7,852.69/17,090.44 = 17,090.44/x
  3. Step 3: Cross multiply
    7,852.69x = 17,090.44 × 17,090.44
  4. Step 4: Simplify right side
    7,852.69x = 292,083,053.94
  5. Step 5: Solve for x
    x = 292,083,053.94/7,852.69
  6. Step 6: Final answer
    x = 37,195.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.