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Finding the Third Proportional to 5,987.25 and 13,525.31

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Solution

The third proportional to 5,987.25 and 13,525.31 is: 30,553.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.25 : 13,525.31 = 13,525.31 : x
  2. Step 2: Convert to fraction form
    5,987.25/13,525.31 = 13,525.31/x
  3. Step 3: Cross multiply
    5,987.25x = 13,525.31 × 13,525.31
  4. Step 4: Simplify right side
    5,987.25x = 182,934,078.22
  5. Step 5: Solve for x
    x = 182,934,078.22/5,987.25
  6. Step 6: Final answer
    x = 30,553.94

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.