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Finding the Third Proportional to 35,267 and 47,843

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Solution

The third proportional to 35,267 and 47,843 is: 64,903.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,267 : 47,843 = 47,843 : x
  2. Step 2: Convert to fraction form
    35,267/47,843 = 47,843/x
  3. Step 3: Cross multiply
    35,267x = 47,843 × 47,843
  4. Step 4: Simplify right side
    35,267x = 2,288,952,649
  5. Step 5: Solve for x
    x = 2,288,952,649/35,267
  6. Step 6: Final answer
    x = 64,903.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.