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Finding the Third Proportional to 5,106.80 and 11,155.22

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Solution

The third proportional to 5,106.80 and 11,155.22 is: 24,367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.80 : 11,155.22 = 11,155.22 : x
  2. Step 2: Convert to fraction form
    5,106.80/11,155.22 = 11,155.22/x
  3. Step 3: Cross multiply
    5,106.80x = 11,155.22 × 11,155.22
  4. Step 4: Simplify right side
    5,106.80x = 124,438,905.36
  5. Step 5: Solve for x
    x = 124,438,905.36/5,106.80
  6. Step 6: Final answer
    x = 24,367.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.