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Finding the Third Proportional to 23,649 and 51,297

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Solution

The third proportional to 23,649 and 51,297 is: 111,268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,649 : 51,297 = 51,297 : x
  2. Step 2: Convert to fraction form
    23,649/51,297 = 51,297/x
  3. Step 3: Cross multiply
    23,649x = 51,297 × 51,297
  4. Step 4: Simplify right side
    23,649x = 2,631,382,209
  5. Step 5: Solve for x
    x = 2,631,382,209/23,649
  6. Step 6: Final answer
    x = 111,268.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.