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Finding the Third Proportional to 23,758 and 35,728

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Solution

The third proportional to 23,758 and 35,728 is: 53,728.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,758 : 35,728 = 35,728 : x
  2. Step 2: Convert to fraction form
    23,758/35,728 = 35,728/x
  3. Step 3: Cross multiply
    23,758x = 35,728 × 35,728
  4. Step 4: Simplify right side
    23,758x = 1,276,489,984
  5. Step 5: Solve for x
    x = 1,276,489,984/23,758
  6. Step 6: Final answer
    x = 53,728.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.