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Finding the Third Proportional to 26,512 and 37,463

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Solution

The third proportional to 26,512 and 37,463 is: 52,937.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,512 : 37,463 = 37,463 : x
  2. Step 2: Convert to fraction form
    26,512/37,463 = 37,463/x
  3. Step 3: Cross multiply
    26,512x = 37,463 × 37,463
  4. Step 4: Simplify right side
    26,512x = 1,403,476,369
  5. Step 5: Solve for x
    x = 1,403,476,369/26,512
  6. Step 6: Final answer
    x = 52,937.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.