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Finding the Third Proportional to 43,317 and 64,799

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Solution

The third proportional to 43,317 and 64,799 is: 96,934.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,317 : 64,799 = 64,799 : x
  2. Step 2: Convert to fraction form
    43,317/64,799 = 64,799/x
  3. Step 3: Cross multiply
    43,317x = 64,799 × 64,799
  4. Step 4: Simplify right side
    43,317x = 4,198,910,401
  5. Step 5: Solve for x
    x = 4,198,910,401/43,317
  6. Step 6: Final answer
    x = 96,934.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.