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Finding the Third Proportional to 23,387 and 51,697

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Solution

The third proportional to 23,387 and 51,697 is: 114,276.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,387 : 51,697 = 51,697 : x
  2. Step 2: Convert to fraction form
    23,387/51,697 = 51,697/x
  3. Step 3: Cross multiply
    23,387x = 51,697 × 51,697
  4. Step 4: Simplify right side
    23,387x = 2,672,579,809
  5. Step 5: Solve for x
    x = 2,672,579,809/23,387
  6. Step 6: Final answer
    x = 114,276.30

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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.