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Finding the Third Proportional to 3,305.50 and 4,406.50

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Solution

The third proportional to 3,305.50 and 4,406.50 is: 5,874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.50 : 4,406.50 = 4,406.50 : x
  2. Step 2: Convert to fraction form
    3,305.50/4,406.50 = 4,406.50/x
  3. Step 3: Cross multiply
    3,305.50x = 4,406.50 × 4,406.50
  4. Step 4: Simplify right side
    3,305.50x = 19,417,242.25
  5. Step 5: Solve for x
    x = 19,417,242.25/3,305.50
  6. Step 6: Final answer
    x = 5,874.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.