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Finding the Third Proportional to 6,035.13 and 11,193.19

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Solution

The third proportional to 6,035.13 and 11,193.19 is: 20,759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,035.13 : 11,193.19 = 11,193.19 : x
  2. Step 2: Convert to fraction form
    6,035.13/11,193.19 = 11,193.19/x
  3. Step 3: Cross multiply
    6,035.13x = 11,193.19 × 11,193.19
  4. Step 4: Simplify right side
    6,035.13x = 125,287,446.41
  5. Step 5: Solve for x
    x = 125,287,446.41/6,035.13
  6. Step 6: Final answer
    x = 20,759.68

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.