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Finding the Third Proportional to 18,794 and 40,423

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Solution

The third proportional to 18,794 and 40,423 is: 86,943.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,794 : 40,423 = 40,423 : x
  2. Step 2: Convert to fraction form
    18,794/40,423 = 40,423/x
  3. Step 3: Cross multiply
    18,794x = 40,423 × 40,423
  4. Step 4: Simplify right side
    18,794x = 1,634,018,929
  5. Step 5: Solve for x
    x = 1,634,018,929/18,794
  6. Step 6: Final answer
    x = 86,943.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.