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Finding the Third Proportional to 23,383 and 51,685

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Solution

The third proportional to 23,383 and 51,685 is: 114,242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,383 : 51,685 = 51,685 : x
  2. Step 2: Convert to fraction form
    23,383/51,685 = 51,685/x
  3. Step 3: Cross multiply
    23,383x = 51,685 × 51,685
  4. Step 4: Simplify right side
    23,383x = 2,671,339,225
  5. Step 5: Solve for x
    x = 2,671,339,225/23,383
  6. Step 6: Final answer
    x = 114,242.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.