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Finding the Third Proportional to 40,724 and 65,713

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Solution

The third proportional to 40,724 and 65,713 is: 106,035.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,724 : 65,713 = 65,713 : x
  2. Step 2: Convert to fraction form
    40,724/65,713 = 65,713/x
  3. Step 3: Cross multiply
    40,724x = 65,713 × 65,713
  4. Step 4: Simplify right side
    40,724x = 4,318,198,369
  5. Step 5: Solve for x
    x = 4,318,198,369/40,724
  6. Step 6: Final answer
    x = 106,035.71

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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.