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Finding the Third Proportional to 41,447 and 64,837

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Solution

The third proportional to 41,447 and 64,837 is: 101,426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,447 : 64,837 = 64,837 : x
  2. Step 2: Convert to fraction form
    41,447/64,837 = 64,837/x
  3. Step 3: Cross multiply
    41,447x = 64,837 × 64,837
  4. Step 4: Simplify right side
    41,447x = 4,203,836,569
  5. Step 5: Solve for x
    x = 4,203,836,569/41,447
  6. Step 6: Final answer
    x = 101,426.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.