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Finding the Third Proportional to 35,512 and 54,732

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Solution

The third proportional to 35,512 and 54,732 is: 84,354.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,512 : 54,732 = 54,732 : x
  2. Step 2: Convert to fraction form
    35,512/54,732 = 54,732/x
  3. Step 3: Cross multiply
    35,512x = 54,732 × 54,732
  4. Step 4: Simplify right side
    35,512x = 2,995,591,824
  5. Step 5: Solve for x
    x = 2,995,591,824/35,512
  6. Step 6: Final answer
    x = 84,354.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.