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Finding the Third Proportional to 15,616 and 34,036

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Solution

The third proportional to 15,616 and 34,036 is: 74,183.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,616 : 34,036 = 34,036 : x
  2. Step 2: Convert to fraction form
    15,616/34,036 = 34,036/x
  3. Step 3: Cross multiply
    15,616x = 34,036 × 34,036
  4. Step 4: Simplify right side
    15,616x = 1,158,449,296
  5. Step 5: Solve for x
    x = 1,158,449,296/15,616
  6. Step 6: Final answer
    x = 74,183.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.