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Finding the Third Proportional to 27,860.50 and 60,799

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Solution

The third proportional to 27,860.50 and 60,799 is: 132,679.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,860.50 : 60,799 = 60,799 : x
  2. Step 2: Convert to fraction form
    27,860.50/60,799 = 60,799/x
  3. Step 3: Cross multiply
    27,860.50x = 60,799 × 60,799
  4. Step 4: Simplify right side
    27,860.50x = 3,696,518,401
  5. Step 5: Solve for x
    x = 3,696,518,401/27,860.50
  6. Step 6: Final answer
    x = 132,679.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.