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Finding the Third Proportional to 36,971 and 56,885

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Solution

The third proportional to 36,971 and 56,885 is: 87,525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,971 : 56,885 = 56,885 : x
  2. Step 2: Convert to fraction form
    36,971/56,885 = 56,885/x
  3. Step 3: Cross multiply
    36,971x = 56,885 × 56,885
  4. Step 4: Simplify right side
    36,971x = 3,235,903,225
  5. Step 5: Solve for x
    x = 3,235,903,225/36,971
  6. Step 6: Final answer
    x = 87,525.44

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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.