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Finding the Third Proportional to 23,789 and 36,818

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Solution

The third proportional to 23,789 and 36,818 is: 56,982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,789 : 36,818 = 36,818 : x
  2. Step 2: Convert to fraction form
    23,789/36,818 = 36,818/x
  3. Step 3: Cross multiply
    23,789x = 36,818 × 36,818
  4. Step 4: Simplify right side
    23,789x = 1,355,565,124
  5. Step 5: Solve for x
    x = 1,355,565,124/23,789
  6. Step 6: Final answer
    x = 56,982.85

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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.