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Finding the Third Proportional to 36,965 and 56,875

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Solution

The third proportional to 36,965 and 56,875 is: 87,508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,965 : 56,875 = 56,875 : x
  2. Step 2: Convert to fraction form
    36,965/56,875 = 56,875/x
  3. Step 3: Cross multiply
    36,965x = 56,875 × 56,875
  4. Step 4: Simplify right side
    36,965x = 3,234,765,625
  5. Step 5: Solve for x
    x = 3,234,765,625/36,965
  6. Step 6: Final answer
    x = 87,508.88

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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.