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Finding the Third Proportional to 38,516 and 79,616

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Solution

The third proportional to 38,516 and 79,616 is: 164,573.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,516 : 79,616 = 79,616 : x
  2. Step 2: Convert to fraction form
    38,516/79,616 = 79,616/x
  3. Step 3: Cross multiply
    38,516x = 79,616 × 79,616
  4. Step 4: Simplify right side
    38,516x = 6,338,707,456
  5. Step 5: Solve for x
    x = 6,338,707,456/38,516
  6. Step 6: Final answer
    x = 164,573.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.