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Finding the Third Proportional to 3,726 and 6,616.50

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Solution

The third proportional to 3,726 and 6,616.50 is: 11,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726 : 6,616.50 = 6,616.50 : x
  2. Step 2: Convert to fraction form
    3,726/6,616.50 = 6,616.50/x
  3. Step 3: Cross multiply
    3,726x = 6,616.50 × 6,616.50
  4. Step 4: Simplify right side
    3,726x = 43,778,072.25
  5. Step 5: Solve for x
    x = 43,778,072.25/3,726
  6. Step 6: Final answer
    x = 11,749.35

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.