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Finding the Third Proportional to 23,338 and 35,494

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Solution

The third proportional to 23,338 and 35,494 is: 53,981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,338 : 35,494 = 35,494 : x
  2. Step 2: Convert to fraction form
    23,338/35,494 = 35,494/x
  3. Step 3: Cross multiply
    23,338x = 35,494 × 35,494
  4. Step 4: Simplify right side
    23,338x = 1,259,824,036
  5. Step 5: Solve for x
    x = 1,259,824,036/23,338
  6. Step 6: Final answer
    x = 53,981.66

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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.