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Finding the Third Proportional to 41,922 and 67,317.75

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Solution

The third proportional to 41,922 and 67,317.75 is: 108,097.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,922 : 67,317.75 = 67,317.75 : x
  2. Step 2: Convert to fraction form
    41,922/67,317.75 = 67,317.75/x
  3. Step 3: Cross multiply
    41,922x = 67,317.75 × 67,317.75
  4. Step 4: Simplify right side
    41,922x = 4,531,679,465.06
  5. Step 5: Solve for x
    x = 4,531,679,465.06/41,922
  6. Step 6: Final answer
    x = 108,097.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.