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Finding the Third Proportional to 3,739.50 and 8,213.06

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Solution

The third proportional to 3,739.50 and 8,213.06 is: 18,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.50 : 8,213.06 = 8,213.06 : x
  2. Step 2: Convert to fraction form
    3,739.50/8,213.06 = 8,213.06/x
  3. Step 3: Cross multiply
    3,739.50x = 8,213.06 × 8,213.06
  4. Step 4: Simplify right side
    3,739.50x = 67,454,395.63
  5. Step 5: Solve for x
    x = 67,454,395.63/3,739.50
  6. Step 6: Final answer
    x = 18,038.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.