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Finding the Third Proportional to 4,003.88 and 5,506.31

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Solution

The third proportional to 4,003.88 and 5,506.31 is: 7,572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.88 : 5,506.31 = 5,506.31 : x
  2. Step 2: Convert to fraction form
    4,003.88/5,506.31 = 5,506.31/x
  3. Step 3: Cross multiply
    4,003.88x = 5,506.31 × 5,506.31
  4. Step 4: Simplify right side
    4,003.88x = 30,319,477.35
  5. Step 5: Solve for x
    x = 30,319,477.35/4,003.88
  6. Step 6: Final answer
    x = 7,572.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.