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Finding the Third Proportional to 35,888 and 54,608

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Solution

The third proportional to 35,888 and 54,608 is: 83,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,888 : 54,608 = 54,608 : x
  2. Step 2: Convert to fraction form
    35,888/54,608 = 54,608/x
  3. Step 3: Cross multiply
    35,888x = 54,608 × 54,608
  4. Step 4: Simplify right side
    35,888x = 2,982,033,664
  5. Step 5: Solve for x
    x = 2,982,033,664/35,888
  6. Step 6: Final answer
    x = 83,092.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.