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Finding the Third Proportional to 12,649.13 and 27,758.44

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Solution

The third proportional to 12,649.13 and 27,758.44 is: 60,915.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.13 : 27,758.44 = 27,758.44 : x
  2. Step 2: Convert to fraction form
    12,649.13/27,758.44 = 27,758.44/x
  3. Step 3: Cross multiply
    12,649.13x = 27,758.44 × 27,758.44
  4. Step 4: Simplify right side
    12,649.13x = 770,530,852.44
  5. Step 5: Solve for x
    x = 770,530,852.44/12,649.13
  6. Step 6: Final answer
    x = 60,915.74

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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.