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Finding the Third Proportional to 8,124 and 18,774

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Solution

The third proportional to 8,124 and 18,774 is: 43,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124 : 18,774 = 18,774 : x
  2. Step 2: Convert to fraction form
    8,124/18,774 = 18,774/x
  3. Step 3: Cross multiply
    8,124x = 18,774 × 18,774
  4. Step 4: Simplify right side
    8,124x = 352,463,076
  5. Step 5: Solve for x
    x = 352,463,076/8,124
  6. Step 6: Final answer
    x = 43,385.41

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.