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Finding the Third Proportional to 5,764.92 and 9,241.59

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Solution

The third proportional to 5,764.92 and 9,241.59 is: 14,814.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.92 : 9,241.59 = 9,241.59 : x
  2. Step 2: Convert to fraction form
    5,764.92/9,241.59 = 9,241.59/x
  3. Step 3: Cross multiply
    5,764.92x = 9,241.59 × 9,241.59
  4. Step 4: Simplify right side
    5,764.92x = 85,407,055.04
  5. Step 5: Solve for x
    x = 85,407,055.04/5,764.92
  6. Step 6: Final answer
    x = 14,814.95

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.