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Finding the Third Proportional to 4,391.09 and 9,602.30

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Solution

The third proportional to 4,391.09 and 9,602.30 is: 20,998.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,391.09 : 9,602.30 = 9,602.30 : x
  2. Step 2: Convert to fraction form
    4,391.09/9,602.30 = 9,602.30/x
  3. Step 3: Cross multiply
    4,391.09x = 9,602.30 × 9,602.30
  4. Step 4: Simplify right side
    4,391.09x = 92,204,105.28
  5. Step 5: Solve for x
    x = 92,204,105.28/4,391.09
  6. Step 6: Final answer
    x = 20,998.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.