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Finding the Third Proportional to 27,210 and 59,766

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Solution

The third proportional to 27,210 and 59,766 is: 131,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,210 : 59,766 = 59,766 : x
  2. Step 2: Convert to fraction form
    27,210/59,766 = 59,766/x
  3. Step 3: Cross multiply
    27,210x = 59,766 × 59,766
  4. Step 4: Simplify right side
    27,210x = 3,571,974,756
  5. Step 5: Solve for x
    x = 3,571,974,756/27,210
  6. Step 6: Final answer
    x = 131,274.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.