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Finding the Third Proportional to 31,282 and 48,843

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Solution

The third proportional to 31,282 and 48,843 is: 76,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,282 : 48,843 = 48,843 : x
  2. Step 2: Convert to fraction form
    31,282/48,843 = 48,843/x
  3. Step 3: Cross multiply
    31,282x = 48,843 × 48,843
  4. Step 4: Simplify right side
    31,282x = 2,385,638,649
  5. Step 5: Solve for x
    x = 2,385,638,649/31,282
  6. Step 6: Final answer
    x = 76,262.34

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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.