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Finding the Third Proportional to 5,034 and 11,041

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Solution

The third proportional to 5,034 and 11,041 is: 24,216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034 : 11,041 = 11,041 : x
  2. Step 2: Convert to fraction form
    5,034/11,041 = 11,041/x
  3. Step 3: Cross multiply
    5,034x = 11,041 × 11,041
  4. Step 4: Simplify right side
    5,034x = 121,903,681
  5. Step 5: Solve for x
    x = 121,903,681/5,034
  6. Step 6: Final answer
    x = 24,216.07

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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.