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Finding the Third Proportional to 9,162 and 17,784

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Solution

The third proportional to 9,162 and 17,784 is: 34,519.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162 : 17,784 = 17,784 : x
  2. Step 2: Convert to fraction form
    9,162/17,784 = 17,784/x
  3. Step 3: Cross multiply
    9,162x = 17,784 × 17,784
  4. Step 4: Simplify right side
    9,162x = 316,270,656
  5. Step 5: Solve for x
    x = 316,270,656/9,162
  6. Step 6: Final answer
    x = 34,519.83

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.