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Finding the Third Proportional to 4,439.39 and 9,570.87

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Solution

The third proportional to 4,439.39 and 9,570.87 is: 20,633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,439.39 : 9,570.87 = 9,570.87 : x
  2. Step 2: Convert to fraction form
    4,439.39/9,570.87 = 9,570.87/x
  3. Step 3: Cross multiply
    4,439.39x = 9,570.87 × 9,570.87
  4. Step 4: Simplify right side
    4,439.39x = 91,601,498.72
  5. Step 5: Solve for x
    x = 91,601,498.72/4,439.39
  6. Step 6: Final answer
    x = 20,633.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.