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Finding the Third Proportional to 35,264 and 51,728

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Solution

The third proportional to 35,264 and 51,728 is: 75,878.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,264 : 51,728 = 51,728 : x
  2. Step 2: Convert to fraction form
    35,264/51,728 = 51,728/x
  3. Step 3: Cross multiply
    35,264x = 51,728 × 51,728
  4. Step 4: Simplify right side
    35,264x = 2,675,785,984
  5. Step 5: Solve for x
    x = 2,675,785,984/35,264
  6. Step 6: Final answer
    x = 75,878.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.