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Finding the Third Proportional to 16,895 and 39,107.50

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Solution

The third proportional to 16,895 and 39,107.50 is: 90,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,895 : 39,107.50 = 39,107.50 : x
  2. Step 2: Convert to fraction form
    16,895/39,107.50 = 39,107.50/x
  3. Step 3: Cross multiply
    16,895x = 39,107.50 × 39,107.50
  4. Step 4: Simplify right side
    16,895x = 1,529,396,556.25
  5. Step 5: Solve for x
    x = 1,529,396,556.25/16,895
  6. Step 6: Final answer
    x = 90,523.62

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.