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Finding the Third Proportional to 23,764 and 52,236

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Solution

The third proportional to 23,764 and 52,236 is: 114,820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,764 : 52,236 = 52,236 : x
  2. Step 2: Convert to fraction form
    23,764/52,236 = 52,236/x
  3. Step 3: Cross multiply
    23,764x = 52,236 × 52,236
  4. Step 4: Simplify right side
    23,764x = 2,728,599,696
  5. Step 5: Solve for x
    x = 2,728,599,696/23,764
  6. Step 6: Final answer
    x = 114,820.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.