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Finding the Third Proportional to 23,152 and 34,836

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Solution

The third proportional to 23,152 and 34,836 is: 52,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152 : 34,836 = 34,836 : x
  2. Step 2: Convert to fraction form
    23,152/34,836 = 34,836/x
  3. Step 3: Cross multiply
    23,152x = 34,836 × 34,836
  4. Step 4: Simplify right side
    23,152x = 1,213,546,896
  5. Step 5: Solve for x
    x = 1,213,546,896/23,152
  6. Step 6: Final answer
    x = 52,416.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.