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Finding the Third Proportional to 26,720 and 57,013

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Solution

The third proportional to 26,720 and 57,013 is: 121,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,720 : 57,013 = 57,013 : x
  2. Step 2: Convert to fraction form
    26,720/57,013 = 57,013/x
  3. Step 3: Cross multiply
    26,720x = 57,013 × 57,013
  4. Step 4: Simplify right side
    26,720x = 3,250,482,169
  5. Step 5: Solve for x
    x = 3,250,482,169/26,720
  6. Step 6: Final answer
    x = 121,649.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.