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Finding the Third Proportional to 5,118.19 and 11,244.45

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Solution

The third proportional to 5,118.19 and 11,244.45 is: 24,703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.19 : 11,244.45 = 11,244.45 : x
  2. Step 2: Convert to fraction form
    5,118.19/11,244.45 = 11,244.45/x
  3. Step 3: Cross multiply
    5,118.19x = 11,244.45 × 11,244.45
  4. Step 4: Simplify right side
    5,118.19x = 126,437,550.39
  5. Step 5: Solve for x
    x = 126,437,550.39/5,118.19
  6. Step 6: Final answer
    x = 24,703.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.