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Finding the Third Proportional to 5,991.82 and 8,987.74

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Solution

The third proportional to 5,991.82 and 8,987.74 is: 13,481.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,991.82 : 8,987.74 = 8,987.74 : x
  2. Step 2: Convert to fraction form
    5,991.82/8,987.74 = 8,987.74/x
  3. Step 3: Cross multiply
    5,991.82x = 8,987.74 × 8,987.74
  4. Step 4: Simplify right side
    5,991.82x = 80,779,417.47
  5. Step 5: Solve for x
    x = 80,779,417.47/5,991.82
  6. Step 6: Final answer
    x = 13,481.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.