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Finding the Third Proportional to 5,138.75 and 11,070.74

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Solution

The third proportional to 5,138.75 and 11,070.74 is: 23,850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.75 : 11,070.74 = 11,070.74 : x
  2. Step 2: Convert to fraction form
    5,138.75/11,070.74 = 11,070.74/x
  3. Step 3: Cross multiply
    5,138.75x = 11,070.74 × 11,070.74
  4. Step 4: Simplify right side
    5,138.75x = 122,561,246.09
  5. Step 5: Solve for x
    x = 122,561,246.09/5,138.75
  6. Step 6: Final answer
    x = 23,850.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.