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Finding the Third Proportional to 27,500 and 41,178

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Solution

The third proportional to 27,500 and 41,178 is: 61,659.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,500 : 41,178 = 41,178 : x
  2. Step 2: Convert to fraction form
    27,500/41,178 = 41,178/x
  3. Step 3: Cross multiply
    27,500x = 41,178 × 41,178
  4. Step 4: Simplify right side
    27,500x = 1,695,627,684
  5. Step 5: Solve for x
    x = 1,695,627,684/27,500
  6. Step 6: Final answer
    x = 61,659.19

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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.