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Finding the Third Proportional to 5,273.86 and 11,381.77

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Solution

The third proportional to 5,273.86 and 11,381.77 is: 24,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.86 : 11,381.77 = 11,381.77 : x
  2. Step 2: Convert to fraction form
    5,273.86/11,381.77 = 11,381.77/x
  3. Step 3: Cross multiply
    5,273.86x = 11,381.77 × 11,381.77
  4. Step 4: Simplify right side
    5,273.86x = 129,544,588.74
  5. Step 5: Solve for x
    x = 129,544,588.74/5,273.86
  6. Step 6: Final answer
    x = 24,563.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.