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Finding the Third Proportional to 3,664.13 and 5,506.31

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Solution

The third proportional to 3,664.13 and 5,506.31 is: 8,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.13 : 5,506.31 = 5,506.31 : x
  2. Step 2: Convert to fraction form
    3,664.13/5,506.31 = 5,506.31/x
  3. Step 3: Cross multiply
    3,664.13x = 5,506.31 × 5,506.31
  4. Step 4: Simplify right side
    3,664.13x = 30,319,477.35
  5. Step 5: Solve for x
    x = 30,319,477.35/3,664.13
  6. Step 6: Final answer
    x = 8,274.68

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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.