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Finding the Third Proportional to 23,395 and 51,165

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Solution

The third proportional to 23,395 and 51,165 is: 111,898.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,395 : 51,165 = 51,165 : x
  2. Step 2: Convert to fraction form
    23,395/51,165 = 51,165/x
  3. Step 3: Cross multiply
    23,395x = 51,165 × 51,165
  4. Step 4: Simplify right side
    23,395x = 2,617,857,225
  5. Step 5: Solve for x
    x = 2,617,857,225/23,395
  6. Step 6: Final answer
    x = 111,898.15

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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.