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Finding the Third Proportional to 41,005 and 66,958

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Solution

The third proportional to 41,005 and 66,958 is: 109,337.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,005 : 66,958 = 66,958 : x
  2. Step 2: Convert to fraction form
    41,005/66,958 = 66,958/x
  3. Step 3: Cross multiply
    41,005x = 66,958 × 66,958
  4. Step 4: Simplify right side
    41,005x = 4,483,373,764
  5. Step 5: Solve for x
    x = 4,483,373,764/41,005
  6. Step 6: Final answer
    x = 109,337.25

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.