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Finding the Third Proportional to 36,961 and 56,889

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Solution

The third proportional to 36,961 and 56,889 is: 87,561.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,961 : 56,889 = 56,889 : x
  2. Step 2: Convert to fraction form
    36,961/56,889 = 56,889/x
  3. Step 3: Cross multiply
    36,961x = 56,889 × 56,889
  4. Step 4: Simplify right side
    36,961x = 3,236,358,321
  5. Step 5: Solve for x
    x = 3,236,358,321/36,961
  6. Step 6: Final answer
    x = 87,561.44

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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.