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Finding the Third Proportional to 5,077.22 and 11,135.34

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Solution

The third proportional to 5,077.22 and 11,135.34 is: 24,422.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.22 : 11,135.34 = 11,135.34 : x
  2. Step 2: Convert to fraction form
    5,077.22/11,135.34 = 11,135.34/x
  3. Step 3: Cross multiply
    5,077.22x = 11,135.34 × 11,135.34
  4. Step 4: Simplify right side
    5,077.22x = 123,995,880.43
  5. Step 5: Solve for x
    x = 123,995,880.43/5,077.22
  6. Step 6: Final answer
    x = 24,422.01

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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.