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Finding the Third Proportional to 9,165 and 18,816

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Solution

The third proportional to 9,165 and 18,816 is: 38,629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165 : 18,816 = 18,816 : x
  2. Step 2: Convert to fraction form
    9,165/18,816 = 18,816/x
  3. Step 3: Cross multiply
    9,165x = 18,816 × 18,816
  4. Step 4: Simplify right side
    9,165x = 354,041,856
  5. Step 5: Solve for x
    x = 354,041,856/9,165
  6. Step 6: Final answer
    x = 38,629.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.