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Finding the Third Proportional to 24,296 and 34,860

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Solution

The third proportional to 24,296 and 34,860 is: 50,017.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,296 : 34,860 = 34,860 : x
  2. Step 2: Convert to fraction form
    24,296/34,860 = 34,860/x
  3. Step 3: Cross multiply
    24,296x = 34,860 × 34,860
  4. Step 4: Simplify right side
    24,296x = 1,215,219,600
  5. Step 5: Solve for x
    x = 1,215,219,600/24,296
  6. Step 6: Final answer
    x = 50,017.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.