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Finding the Third Proportional to 23,494 and 35,252

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Solution

The third proportional to 23,494 and 35,252 is: 52,894.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,494 : 35,252 = 35,252 : x
  2. Step 2: Convert to fraction form
    23,494/35,252 = 35,252/x
  3. Step 3: Cross multiply
    23,494x = 35,252 × 35,252
  4. Step 4: Simplify right side
    23,494x = 1,242,703,504
  5. Step 5: Solve for x
    x = 1,242,703,504/23,494
  6. Step 6: Final answer
    x = 52,894.51

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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.