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Finding the Third Proportional to 31,549 and 48,843

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Solution

The third proportional to 31,549 and 48,843 is: 75,616.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,549 : 48,843 = 48,843 : x
  2. Step 2: Convert to fraction form
    31,549/48,843 = 48,843/x
  3. Step 3: Cross multiply
    31,549x = 48,843 × 48,843
  4. Step 4: Simplify right side
    31,549x = 2,385,638,649
  5. Step 5: Solve for x
    x = 2,385,638,649/31,549
  6. Step 6: Final answer
    x = 75,616.93

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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.