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Finding the Third Proportional to 27,764 and 60,600

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Solution

The third proportional to 27,764 and 60,600 is: 132,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,764 : 60,600 = 60,600 : x
  2. Step 2: Convert to fraction form
    27,764/60,600 = 60,600/x
  3. Step 3: Cross multiply
    27,764x = 60,600 × 60,600
  4. Step 4: Simplify right side
    27,764x = 3,672,360,000
  5. Step 5: Solve for x
    x = 3,672,360,000/27,764
  6. Step 6: Final answer
    x = 132,270.57

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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.