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Finding the Third Proportional to 40,728 and 65,719

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Solution

The third proportional to 40,728 and 65,719 is: 106,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,728 : 65,719 = 65,719 : x
  2. Step 2: Convert to fraction form
    40,728/65,719 = 65,719/x
  3. Step 3: Cross multiply
    40,728x = 65,719 × 65,719
  4. Step 4: Simplify right side
    40,728x = 4,318,986,961
  5. Step 5: Solve for x
    x = 4,318,986,961/40,728
  6. Step 6: Final answer
    x = 106,044.66

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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.