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Finding the Third Proportional to 41,037 and 64,293

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Solution

The third proportional to 41,037 and 64,293 is: 100,728.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,037 : 64,293 = 64,293 : x
  2. Step 2: Convert to fraction form
    41,037/64,293 = 64,293/x
  3. Step 3: Cross multiply
    41,037x = 64,293 × 64,293
  4. Step 4: Simplify right side
    41,037x = 4,133,589,849
  5. Step 5: Solve for x
    x = 4,133,589,849/41,037
  6. Step 6: Final answer
    x = 100,728.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.