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Finding the Third Proportional to 3,534.38 and 5,309.44

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Solution

The third proportional to 3,534.38 and 5,309.44 is: 7,975.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.38 : 5,309.44 = 5,309.44 : x
  2. Step 2: Convert to fraction form
    3,534.38/5,309.44 = 5,309.44/x
  3. Step 3: Cross multiply
    3,534.38x = 5,309.44 × 5,309.44
  4. Step 4: Simplify right side
    3,534.38x = 28,190,126.57
  5. Step 5: Solve for x
    x = 28,190,126.57/3,534.38
  6. Step 6: Final answer
    x = 7,975.99

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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.