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Finding the Third Proportional to 17,178.75 and 25,727.63

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Solution

The third proportional to 17,178.75 and 25,727.63 is: 38,530.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,178.75 : 25,727.63 = 25,727.63 : x
  2. Step 2: Convert to fraction form
    17,178.75/25,727.63 = 25,727.63/x
  3. Step 3: Cross multiply
    17,178.75x = 25,727.63 × 25,727.63
  4. Step 4: Simplify right side
    17,178.75x = 661,910,688.14
  5. Step 5: Solve for x
    x = 661,910,688.14/17,178.75
  6. Step 6: Final answer
    x = 38,530.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.