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Finding the Third Proportional to 24,902 and 34,167

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Solution

The third proportional to 24,902 and 34,167 is: 46,879.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,902 : 34,167 = 34,167 : x
  2. Step 2: Convert to fraction form
    24,902/34,167 = 34,167/x
  3. Step 3: Cross multiply
    24,902x = 34,167 × 34,167
  4. Step 4: Simplify right side
    24,902x = 1,167,383,889
  5. Step 5: Solve for x
    x = 1,167,383,889/24,902
  6. Step 6: Final answer
    x = 46,879.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.