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Finding the Third Proportional to 3,807 and 6,166.50

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Solution

The third proportional to 3,807 and 6,166.50 is: 9,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807 : 6,166.50 = 6,166.50 : x
  2. Step 2: Convert to fraction form
    3,807/6,166.50 = 6,166.50/x
  3. Step 3: Cross multiply
    3,807x = 6,166.50 × 6,166.50
  4. Step 4: Simplify right side
    3,807x = 38,025,722.25
  5. Step 5: Solve for x
    x = 38,025,722.25/3,807
  6. Step 6: Final answer
    x = 9,988.37

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.