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Finding the Third Proportional to 4,377.28 and 9,369.66

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Solution

The third proportional to 4,377.28 and 9,369.66 is: 20,055.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377.28 : 9,369.66 = 9,369.66 : x
  2. Step 2: Convert to fraction form
    4,377.28/9,369.66 = 9,369.66/x
  3. Step 3: Cross multiply
    4,377.28x = 9,369.66 × 9,369.66
  4. Step 4: Simplify right side
    4,377.28x = 87,790,458.24
  5. Step 5: Solve for x
    x = 87,790,458.24/4,377.28
  6. Step 6: Final answer
    x = 20,055.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.