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Finding the Third Proportional to 26,720 and 47,608

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Solution

The third proportional to 26,720 and 47,608 is: 84,824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,720 : 47,608 = 47,608 : x
  2. Step 2: Convert to fraction form
    26,720/47,608 = 47,608/x
  3. Step 3: Cross multiply
    26,720x = 47,608 × 47,608
  4. Step 4: Simplify right side
    26,720x = 2,266,521,664
  5. Step 5: Solve for x
    x = 2,266,521,664/26,720
  6. Step 6: Final answer
    x = 84,824.91

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.