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Finding the Third Proportional to 26,380 and 62,272

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Solution

The third proportional to 26,380 and 62,272 is: 146,997.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,380 : 62,272 = 62,272 : x
  2. Step 2: Convert to fraction form
    26,380/62,272 = 62,272/x
  3. Step 3: Cross multiply
    26,380x = 62,272 × 62,272
  4. Step 4: Simplify right side
    26,380x = 3,877,801,984
  5. Step 5: Solve for x
    x = 3,877,801,984/26,380
  6. Step 6: Final answer
    x = 146,997.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.