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Finding the Third Proportional to 40,036 and 59,910

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Solution

The third proportional to 40,036 and 59,910 is: 89,649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,036 : 59,910 = 59,910 : x
  2. Step 2: Convert to fraction form
    40,036/59,910 = 59,910/x
  3. Step 3: Cross multiply
    40,036x = 59,910 × 59,910
  4. Step 4: Simplify right side
    40,036x = 3,589,208,100
  5. Step 5: Solve for x
    x = 3,589,208,100/40,036
  6. Step 6: Final answer
    x = 89,649.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.