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Finding the Third Proportional to 41,301 and 65,644

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Solution

The third proportional to 41,301 and 65,644 is: 104,334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,301 : 65,644 = 65,644 : x
  2. Step 2: Convert to fraction form
    41,301/65,644 = 65,644/x
  3. Step 3: Cross multiply
    41,301x = 65,644 × 65,644
  4. Step 4: Simplify right side
    41,301x = 4,309,134,736
  5. Step 5: Solve for x
    x = 4,309,134,736/41,301
  6. Step 6: Final answer
    x = 104,334.88

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.