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Finding the Third Proportional to 27,297 and 41,137.88

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Solution

The third proportional to 27,297 and 41,137.88 is: 61,996.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,297 : 41,137.88 = 41,137.88 : x
  2. Step 2: Convert to fraction form
    27,297/41,137.88 = 41,137.88/x
  3. Step 3: Cross multiply
    27,297x = 41,137.88 × 41,137.88
  4. Step 4: Simplify right side
    27,297x = 1,692,324,759.52
  5. Step 5: Solve for x
    x = 1,692,324,759.52/27,297
  6. Step 6: Final answer
    x = 61,996.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.