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Finding the Third Proportional to 5,151.75 and 10,917.75

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Solution

The third proportional to 5,151.75 and 10,917.75 is: 23,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.75 : 10,917.75 = 10,917.75 : x
  2. Step 2: Convert to fraction form
    5,151.75/10,917.75 = 10,917.75/x
  3. Step 3: Cross multiply
    5,151.75x = 10,917.75 × 10,917.75
  4. Step 4: Simplify right side
    5,151.75x = 119,197,265.06
  5. Step 5: Solve for x
    x = 119,197,265.06/5,151.75
  6. Step 6: Final answer
    x = 23,137.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.