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Finding the Third Proportional to 36,848 and 56,544

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Solution

The third proportional to 36,848 and 56,544 is: 86,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,848 : 56,544 = 56,544 : x
  2. Step 2: Convert to fraction form
    36,848/56,544 = 56,544/x
  3. Step 3: Cross multiply
    36,848x = 56,544 × 56,544
  4. Step 4: Simplify right side
    36,848x = 3,197,223,936
  5. Step 5: Solve for x
    x = 3,197,223,936/36,848
  6. Step 6: Final answer
    x = 86,767.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.