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Finding the Third Proportional to 27,766 and 60,710

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Solution

The third proportional to 27,766 and 60,710 is: 132,741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,766 : 60,710 = 60,710 : x
  2. Step 2: Convert to fraction form
    27,766/60,710 = 60,710/x
  3. Step 3: Cross multiply
    27,766x = 60,710 × 60,710
  4. Step 4: Simplify right side
    27,766x = 3,685,704,100
  5. Step 5: Solve for x
    x = 3,685,704,100/27,766
  6. Step 6: Final answer
    x = 132,741.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.