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Finding the Third Proportional to 41,701 and 64,667

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Solution

The third proportional to 41,701 and 64,667 is: 100,281.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,701 : 64,667 = 64,667 : x
  2. Step 2: Convert to fraction form
    41,701/64,667 = 64,667/x
  3. Step 3: Cross multiply
    41,701x = 64,667 × 64,667
  4. Step 4: Simplify right side
    41,701x = 4,181,820,889
  5. Step 5: Solve for x
    x = 4,181,820,889/41,701
  6. Step 6: Final answer
    x = 100,281.07

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.