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Finding the Third Proportional to 40,326 and 64,743

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Solution

The third proportional to 40,326 and 64,743 is: 103,944.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,326 : 64,743 = 64,743 : x
  2. Step 2: Convert to fraction form
    40,326/64,743 = 64,743/x
  3. Step 3: Cross multiply
    40,326x = 64,743 × 64,743
  4. Step 4: Simplify right side
    40,326x = 4,191,656,049
  5. Step 5: Solve for x
    x = 4,191,656,049/40,326
  6. Step 6: Final answer
    x = 103,944.26

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