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Finding the Third Proportional to 18,723 and 40,970

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Solution

The third proportional to 18,723 and 40,970 is: 89,651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,723 : 40,970 = 40,970 : x
  2. Step 2: Convert to fraction form
    18,723/40,970 = 40,970/x
  3. Step 3: Cross multiply
    18,723x = 40,970 × 40,970
  4. Step 4: Simplify right side
    18,723x = 1,678,540,900
  5. Step 5: Solve for x
    x = 1,678,540,900/18,723
  6. Step 6: Final answer
    x = 89,651.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.