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Finding the Third Proportional to 4,440.38 and 9,564.19

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Solution

The third proportional to 4,440.38 and 9,564.19 is: 20,600.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,440.38 : 9,564.19 = 9,564.19 : x
  2. Step 2: Convert to fraction form
    4,440.38/9,564.19 = 9,564.19/x
  3. Step 3: Cross multiply
    4,440.38x = 9,564.19 × 9,564.19
  4. Step 4: Simplify right side
    4,440.38x = 91,473,682.54
  5. Step 5: Solve for x
    x = 91,473,682.54/4,440.38
  6. Step 6: Final answer
    x = 20,600.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.