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Finding the Third Proportional to 5,923.13 and 10,540.13

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Solution

The third proportional to 5,923.13 and 10,540.13 is: 18,756.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.13 : 10,540.13 = 10,540.13 : x
  2. Step 2: Convert to fraction form
    5,923.13/10,540.13 = 10,540.13/x
  3. Step 3: Cross multiply
    5,923.13x = 10,540.13 × 10,540.13
  4. Step 4: Simplify right side
    5,923.13x = 111,094,235.02
  5. Step 5: Solve for x
    x = 111,094,235.02/5,923.13
  6. Step 6: Final answer
    x = 18,756.02

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.