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Finding the Third Proportional to 36,990 and 56,407

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Solution

The third proportional to 36,990 and 56,407 is: 86,016.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,990 : 56,407 = 56,407 : x
  2. Step 2: Convert to fraction form
    36,990/56,407 = 56,407/x
  3. Step 3: Cross multiply
    36,990x = 56,407 × 56,407
  4. Step 4: Simplify right side
    36,990x = 3,181,749,649
  5. Step 5: Solve for x
    x = 3,181,749,649/36,990
  6. Step 6: Final answer
    x = 86,016.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.