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Finding the Third Proportional to 31,104 and 48,657

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Solution

The third proportional to 31,104 and 48,657 is: 76,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104 : 48,657 = 48,657 : x
  2. Step 2: Convert to fraction form
    31,104/48,657 = 48,657/x
  3. Step 3: Cross multiply
    31,104x = 48,657 × 48,657
  4. Step 4: Simplify right side
    31,104x = 2,367,503,649
  5. Step 5: Solve for x
    x = 2,367,503,649/31,104
  6. Step 6: Final answer
    x = 76,115.73

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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.