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Finding the Third Proportional to 27,794 and 60,484

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Solution

The third proportional to 27,794 and 60,484 is: 131,622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794 : 60,484 = 60,484 : x
  2. Step 2: Convert to fraction form
    27,794/60,484 = 60,484/x
  3. Step 3: Cross multiply
    27,794x = 60,484 × 60,484
  4. Step 4: Simplify right side
    27,794x = 3,658,314,256
  5. Step 5: Solve for x
    x = 3,658,314,256/27,794
  6. Step 6: Final answer
    x = 131,622.45

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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.