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Finding the Third Proportional to 32,965 and 44,910

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Solution

The third proportional to 32,965 and 44,910 is: 61,183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,965 : 44,910 = 44,910 : x
  2. Step 2: Convert to fraction form
    32,965/44,910 = 44,910/x
  3. Step 3: Cross multiply
    32,965x = 44,910 × 44,910
  4. Step 4: Simplify right side
    32,965x = 2,016,908,100
  5. Step 5: Solve for x
    x = 2,016,908,100/32,965
  6. Step 6: Final answer
    x = 61,183.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.