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Finding the Third Proportional to 7,800 and 18,684

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Solution

The third proportional to 7,800 and 18,684 is: 44,755.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800 : 18,684 = 18,684 : x
  2. Step 2: Convert to fraction form
    7,800/18,684 = 18,684/x
  3. Step 3: Cross multiply
    7,800x = 18,684 × 18,684
  4. Step 4: Simplify right side
    7,800x = 349,091,856
  5. Step 5: Solve for x
    x = 349,091,856/7,800
  6. Step 6: Final answer
    x = 44,755.37

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.