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Finding the Third Proportional to 5,791.50 and 9,596.25

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Solution

The third proportional to 5,791.50 and 9,596.25 is: 15,900.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.50 : 9,596.25 = 9,596.25 : x
  2. Step 2: Convert to fraction form
    5,791.50/9,596.25 = 9,596.25/x
  3. Step 3: Cross multiply
    5,791.50x = 9,596.25 × 9,596.25
  4. Step 4: Simplify right side
    5,791.50x = 92,088,014.06
  5. Step 5: Solve for x
    x = 92,088,014.06/5,791.50
  6. Step 6: Final answer
    x = 15,900.55

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.