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Finding the Third Proportional to 7,838 and 16,818

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Solution

The third proportional to 7,838 and 16,818 is: 36,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838 : 16,818 = 16,818 : x
  2. Step 2: Convert to fraction form
    7,838/16,818 = 16,818/x
  3. Step 3: Cross multiply
    7,838x = 16,818 × 16,818
  4. Step 4: Simplify right side
    7,838x = 282,845,124
  5. Step 5: Solve for x
    x = 282,845,124/7,838
  6. Step 6: Final answer
    x = 36,086.39

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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.