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Finding the Third Proportional to 4,377.09 and 9,369.28

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Solution

The third proportional to 4,377.09 and 9,369.28 is: 20,055.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377.09 : 9,369.28 = 9,369.28 : x
  2. Step 2: Convert to fraction form
    4,377.09/9,369.28 = 9,369.28/x
  3. Step 3: Cross multiply
    4,377.09x = 9,369.28 × 9,369.28
  4. Step 4: Simplify right side
    4,377.09x = 87,783,431.14
  5. Step 5: Solve for x
    x = 87,783,431.14/4,377.09
  6. Step 6: Final answer
    x = 20,055.19

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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.