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Finding the Third Proportional to 23,888 and 52,322

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Solution

The third proportional to 23,888 and 52,322 is: 114,601.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,888 : 52,322 = 52,322 : x
  2. Step 2: Convert to fraction form
    23,888/52,322 = 52,322/x
  3. Step 3: Cross multiply
    23,888x = 52,322 × 52,322
  4. Step 4: Simplify right side
    23,888x = 2,737,591,684
  5. Step 5: Solve for x
    x = 2,737,591,684/23,888
  6. Step 6: Final answer
    x = 114,601.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.