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Finding the Third Proportional to 3,912 and 5,868.50

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Solution

The third proportional to 3,912 and 5,868.50 is: 8,803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912 : 5,868.50 = 5,868.50 : x
  2. Step 2: Convert to fraction form
    3,912/5,868.50 = 5,868.50/x
  3. Step 3: Cross multiply
    3,912x = 5,868.50 × 5,868.50
  4. Step 4: Simplify right side
    3,912x = 34,439,292.25
  5. Step 5: Solve for x
    x = 34,439,292.25/3,912
  6. Step 6: Final answer
    x = 8,803.50

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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.