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Finding the Third Proportional to 31,337 and 48,546

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Solution

The third proportional to 31,337 and 48,546 is: 75,205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,337 : 48,546 = 48,546 : x
  2. Step 2: Convert to fraction form
    31,337/48,546 = 48,546/x
  3. Step 3: Cross multiply
    31,337x = 48,546 × 48,546
  4. Step 4: Simplify right side
    31,337x = 2,356,714,116
  5. Step 5: Solve for x
    x = 2,356,714,116/31,337
  6. Step 6: Final answer
    x = 75,205.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.