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Finding the Third Proportional to 40,330 and 64,061

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Solution

The third proportional to 40,330 and 64,061 is: 101,755.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,330 : 64,061 = 64,061 : x
  2. Step 2: Convert to fraction form
    40,330/64,061 = 64,061/x
  3. Step 3: Cross multiply
    40,330x = 64,061 × 64,061
  4. Step 4: Simplify right side
    40,330x = 4,103,811,721
  5. Step 5: Solve for x
    x = 4,103,811,721/40,330
  6. Step 6: Final answer
    x = 101,755.81

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Why These Related Problems?

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