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Finding the Third Proportional to 24,976 and 32,152

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Solution

The third proportional to 24,976 and 32,152 is: 41,389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,976 : 32,152 = 32,152 : x
  2. Step 2: Convert to fraction form
    24,976/32,152 = 32,152/x
  3. Step 3: Cross multiply
    24,976x = 32,152 × 32,152
  4. Step 4: Simplify right side
    24,976x = 1,033,751,104
  5. Step 5: Solve for x
    x = 1,033,751,104/24,976
  6. Step 6: Final answer
    x = 41,389.78

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.