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Finding the Third Proportional to 36,583 and 56,393

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Solution

The third proportional to 36,583 and 56,393 is: 86,930.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,583 : 56,393 = 56,393 : x
  2. Step 2: Convert to fraction form
    36,583/56,393 = 56,393/x
  3. Step 3: Cross multiply
    36,583x = 56,393 × 56,393
  4. Step 4: Simplify right side
    36,583x = 3,180,170,449
  5. Step 5: Solve for x
    x = 3,180,170,449/36,583
  6. Step 6: Final answer
    x = 86,930.28

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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.