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Finding the Third Proportional to 23,252 and 36,950

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Solution

The third proportional to 23,252 and 36,950 is: 58,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,252 : 36,950 = 36,950 : x
  2. Step 2: Convert to fraction form
    23,252/36,950 = 36,950/x
  3. Step 3: Cross multiply
    23,252x = 36,950 × 36,950
  4. Step 4: Simplify right side
    23,252x = 1,365,302,500
  5. Step 5: Solve for x
    x = 1,365,302,500/23,252
  6. Step 6: Final answer
    x = 58,717.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.