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Finding the Third Proportional to 26,552 and 35,912

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Solution

The third proportional to 26,552 and 35,912 is: 48,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,552 : 35,912 = 35,912 : x
  2. Step 2: Convert to fraction form
    26,552/35,912 = 35,912/x
  3. Step 3: Cross multiply
    26,552x = 35,912 × 35,912
  4. Step 4: Simplify right side
    26,552x = 1,289,671,744
  5. Step 5: Solve for x
    x = 1,289,671,744/26,552
  6. Step 6: Final answer
    x = 48,571.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.