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Finding the Third Proportional to 23,778 and 52,092

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Solution

The third proportional to 23,778 and 52,092 is: 114,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,778 : 52,092 = 52,092 : x
  2. Step 2: Convert to fraction form
    23,778/52,092 = 52,092/x
  3. Step 3: Cross multiply
    23,778x = 52,092 × 52,092
  4. Step 4: Simplify right side
    23,778x = 2,713,576,464
  5. Step 5: Solve for x
    x = 2,713,576,464/23,778
  6. Step 6: Final answer
    x = 114,121.31

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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.