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Finding the Third Proportional to 24,682 and 36,152

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Solution

The third proportional to 24,682 and 36,152 is: 52,952.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,682 : 36,152 = 36,152 : x
  2. Step 2: Convert to fraction form
    24,682/36,152 = 36,152/x
  3. Step 3: Cross multiply
    24,682x = 36,152 × 36,152
  4. Step 4: Simplify right side
    24,682x = 1,306,967,104
  5. Step 5: Solve for x
    x = 1,306,967,104/24,682
  6. Step 6: Final answer
    x = 52,952.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.