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Finding the Third Proportional to 24,722 and 36,195

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Solution

The third proportional to 24,722 and 36,195 is: 52,992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,722 : 36,195 = 36,195 : x
  2. Step 2: Convert to fraction form
    24,722/36,195 = 36,195/x
  3. Step 3: Cross multiply
    24,722x = 36,195 × 36,195
  4. Step 4: Simplify right side
    24,722x = 1,310,078,025
  5. Step 5: Solve for x
    x = 1,310,078,025/24,722
  6. Step 6: Final answer
    x = 52,992.40

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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.