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Finding the Third Proportional to 27,885.50 and 60,489

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Solution

The third proportional to 27,885.50 and 60,489 is: 131,212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,885.50 : 60,489 = 60,489 : x
  2. Step 2: Convert to fraction form
    27,885.50/60,489 = 60,489/x
  3. Step 3: Cross multiply
    27,885.50x = 60,489 × 60,489
  4. Step 4: Simplify right side
    27,885.50x = 3,658,919,121
  5. Step 5: Solve for x
    x = 3,658,919,121/27,885.50
  6. Step 6: Final answer
    x = 131,212.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.