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Finding the Third Proportional to 5,023.27 and 10,817.30

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Solution

The third proportional to 5,023.27 and 10,817.30 is: 23,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,023.27 : 10,817.30 = 10,817.30 : x
  2. Step 2: Convert to fraction form
    5,023.27/10,817.30 = 10,817.30/x
  3. Step 3: Cross multiply
    5,023.27x = 10,817.30 × 10,817.30
  4. Step 4: Simplify right side
    5,023.27x = 117,013,911.68
  5. Step 5: Solve for x
    x = 117,013,911.68/5,023.27
  6. Step 6: Final answer
    x = 23,294.39

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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.