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Finding the Third Proportional to 5,137.13 and 11,077.13

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Solution

The third proportional to 5,137.13 and 11,077.13 is: 23,885.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.13 : 11,077.13 = 11,077.13 : x
  2. Step 2: Convert to fraction form
    5,137.13/11,077.13 = 11,077.13/x
  3. Step 3: Cross multiply
    5,137.13x = 11,077.13 × 11,077.13
  4. Step 4: Simplify right side
    5,137.13x = 122,702,698.27
  5. Step 5: Solve for x
    x = 122,702,698.27/5,137.13
  6. Step 6: Final answer
    x = 23,885.48

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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.