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Finding the Third Proportional to 5,185.13 and 10,990.13

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Solution

The third proportional to 5,185.13 and 10,990.13 is: 23,294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.13 : 10,990.13 = 10,990.13 : x
  2. Step 2: Convert to fraction form
    5,185.13/10,990.13 = 10,990.13/x
  3. Step 3: Cross multiply
    5,185.13x = 10,990.13 × 10,990.13
  4. Step 4: Simplify right side
    5,185.13x = 120,782,847.52
  5. Step 5: Solve for x
    x = 120,782,847.52/5,185.13
  6. Step 6: Final answer
    x = 23,294.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.