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Finding the Third Proportional to 27,231 and 41,254.50

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Solution

The third proportional to 27,231 and 41,254.50 is: 62,499.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,231 : 41,254.50 = 41,254.50 : x
  2. Step 2: Convert to fraction form
    27,231/41,254.50 = 41,254.50/x
  3. Step 3: Cross multiply
    27,231x = 41,254.50 × 41,254.50
  4. Step 4: Simplify right side
    27,231x = 1,701,933,770.25
  5. Step 5: Solve for x
    x = 1,701,933,770.25/27,231
  6. Step 6: Final answer
    x = 62,499.86

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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.