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Finding the Third Proportional to 18,704 and 40,324

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Solution

The third proportional to 18,704 and 40,324 is: 86,934.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,704 : 40,324 = 40,324 : x
  2. Step 2: Convert to fraction form
    18,704/40,324 = 40,324/x
  3. Step 3: Cross multiply
    18,704x = 40,324 × 40,324
  4. Step 4: Simplify right side
    18,704x = 1,626,024,976
  5. Step 5: Solve for x
    x = 1,626,024,976/18,704
  6. Step 6: Final answer
    x = 86,934.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.