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Finding the Third Proportional to 27,756 and 61,044

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Solution

The third proportional to 27,756 and 61,044 is: 134,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,756 : 61,044 = 61,044 : x
  2. Step 2: Convert to fraction form
    27,756/61,044 = 61,044/x
  3. Step 3: Cross multiply
    27,756x = 61,044 × 61,044
  4. Step 4: Simplify right side
    27,756x = 3,726,369,936
  5. Step 5: Solve for x
    x = 3,726,369,936/27,756
  6. Step 6: Final answer
    x = 134,254.57

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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.