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Finding the Third Proportional to 27,747 and 61,018

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Solution

The third proportional to 27,747 and 61,018 is: 134,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,747 : 61,018 = 61,018 : x
  2. Step 2: Convert to fraction form
    27,747/61,018 = 61,018/x
  3. Step 3: Cross multiply
    27,747x = 61,018 × 61,018
  4. Step 4: Simplify right side
    27,747x = 3,723,196,324
  5. Step 5: Solve for x
    x = 3,723,196,324/27,747
  6. Step 6: Final answer
    x = 134,183.74

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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.