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Finding the Third Proportional to 36,970 and 56,825

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Solution

The third proportional to 36,970 and 56,825 is: 87,343.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,970 : 56,825 = 56,825 : x
  2. Step 2: Convert to fraction form
    36,970/56,825 = 56,825/x
  3. Step 3: Cross multiply
    36,970x = 56,825 × 56,825
  4. Step 4: Simplify right side
    36,970x = 3,229,080,625
  5. Step 5: Solve for x
    x = 3,229,080,625/36,970
  6. Step 6: Final answer
    x = 87,343.27

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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.