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Finding the Third Proportional to 18,678 and 40,468

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Solution

The third proportional to 18,678 and 40,468 is: 87,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,678 : 40,468 = 40,468 : x
  2. Step 2: Convert to fraction form
    18,678/40,468 = 40,468/x
  3. Step 3: Cross multiply
    18,678x = 40,468 × 40,468
  4. Step 4: Simplify right side
    18,678x = 1,637,659,024
  5. Step 5: Solve for x
    x = 1,637,659,024/18,678
  6. Step 6: Final answer
    x = 87,678.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.