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Finding the Third Proportional to 13,917 and 23,107.50

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Solution

The third proportional to 13,917 and 23,107.50 is: 38,367.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917 : 23,107.50 = 23,107.50 : x
  2. Step 2: Convert to fraction form
    13,917/23,107.50 = 23,107.50/x
  3. Step 3: Cross multiply
    13,917x = 23,107.50 × 23,107.50
  4. Step 4: Simplify right side
    13,917x = 533,956,556.25
  5. Step 5: Solve for x
    x = 533,956,556.25/13,917
  6. Step 6: Final answer
    x = 38,367.22

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.