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Finding the Third Proportional to 24,950 and 36,262

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Solution

The third proportional to 24,950 and 36,262 is: 52,702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,950 : 36,262 = 36,262 : x
  2. Step 2: Convert to fraction form
    24,950/36,262 = 36,262/x
  3. Step 3: Cross multiply
    24,950x = 36,262 × 36,262
  4. Step 4: Simplify right side
    24,950x = 1,314,932,644
  5. Step 5: Solve for x
    x = 1,314,932,644/24,950
  6. Step 6: Final answer
    x = 52,702.71

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.