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Finding the Third Proportional to 26,009 and 61,377

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Solution

The third proportional to 26,009 and 61,377 is: 144,839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,009 : 61,377 = 61,377 : x
  2. Step 2: Convert to fraction form
    26,009/61,377 = 61,377/x
  3. Step 3: Cross multiply
    26,009x = 61,377 × 61,377
  4. Step 4: Simplify right side
    26,009x = 3,767,136,129
  5. Step 5: Solve for x
    x = 3,767,136,129/26,009
  6. Step 6: Final answer
    x = 144,839.71

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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.