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Finding the Third Proportional to 4,409.44 and 6,659.72

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Solution

The third proportional to 4,409.44 and 6,659.72 is: 10,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.44 : 6,659.72 = 6,659.72 : x
  2. Step 2: Convert to fraction form
    4,409.44/6,659.72 = 6,659.72/x
  3. Step 3: Cross multiply
    4,409.44x = 6,659.72 × 6,659.72
  4. Step 4: Simplify right side
    4,409.44x = 44,351,853.83
  5. Step 5: Solve for x
    x = 44,351,853.83/4,409.44
  6. Step 6: Final answer
    x = 10,058.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.