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Finding the Third Proportional to 35,256 and 50,938

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Solution

The third proportional to 35,256 and 50,938 is: 73,595.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,256 : 50,938 = 50,938 : x
  2. Step 2: Convert to fraction form
    35,256/50,938 = 50,938/x
  3. Step 3: Cross multiply
    35,256x = 50,938 × 50,938
  4. Step 4: Simplify right side
    35,256x = 2,594,679,844
  5. Step 5: Solve for x
    x = 2,594,679,844/35,256
  6. Step 6: Final answer
    x = 73,595.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.