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Finding the Third Proportional to 23,508 and 32,235

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Solution

The third proportional to 23,508 and 32,235 is: 44,201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,508 : 32,235 = 32,235 : x
  2. Step 2: Convert to fraction form
    23,508/32,235 = 32,235/x
  3. Step 3: Cross multiply
    23,508x = 32,235 × 32,235
  4. Step 4: Simplify right side
    23,508x = 1,039,095,225
  5. Step 5: Solve for x
    x = 1,039,095,225/23,508
  6. Step 6: Final answer
    x = 44,201.77

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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.