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Finding the Third Proportional to 5,091.19 and 11,363.63

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Solution

The third proportional to 5,091.19 and 11,363.63 is: 25,363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091.19 : 11,363.63 = 11,363.63 : x
  2. Step 2: Convert to fraction form
    5,091.19/11,363.63 = 11,363.63/x
  3. Step 3: Cross multiply
    5,091.19x = 11,363.63 × 11,363.63
  4. Step 4: Simplify right side
    5,091.19x = 129,131,973.14
  5. Step 5: Solve for x
    x = 129,131,973.14/5,091.19
  6. Step 6: Final answer
    x = 25,363.82

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.