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Finding the Third Proportional to 35,512 and 53,916

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Solution

The third proportional to 35,512 and 53,916 is: 81,857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,512 : 53,916 = 53,916 : x
  2. Step 2: Convert to fraction form
    35,512/53,916 = 53,916/x
  3. Step 3: Cross multiply
    35,512x = 53,916 × 53,916
  4. Step 4: Simplify right side
    35,512x = 2,906,935,056
  5. Step 5: Solve for x
    x = 2,906,935,056/35,512
  6. Step 6: Final answer
    x = 81,857.82

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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.