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Finding the Third Proportional to 11,178.75 and 23,690

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Solution

The third proportional to 11,178.75 and 23,690 is: 50,203.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.75 : 23,690 = 23,690 : x
  2. Step 2: Convert to fraction form
    11,178.75/23,690 = 23,690/x
  3. Step 3: Cross multiply
    11,178.75x = 23,690 × 23,690
  4. Step 4: Simplify right side
    11,178.75x = 561,216,100
  5. Step 5: Solve for x
    x = 561,216,100/11,178.75
  6. Step 6: Final answer
    x = 50,203.83

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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.