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Finding the Third Proportional to 27,544 and 56,719

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Solution

The third proportional to 27,544 and 56,719 is: 116,796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,544 : 56,719 = 56,719 : x
  2. Step 2: Convert to fraction form
    27,544/56,719 = 56,719/x
  3. Step 3: Cross multiply
    27,544x = 56,719 × 56,719
  4. Step 4: Simplify right side
    27,544x = 3,217,044,961
  5. Step 5: Solve for x
    x = 3,217,044,961/27,544
  6. Step 6: Final answer
    x = 116,796.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.