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Finding the Third Proportional to 9,794 and 14,819

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Solution

The third proportional to 9,794 and 14,819 is: 22,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794 : 14,819 = 14,819 : x
  2. Step 2: Convert to fraction form
    9,794/14,819 = 14,819/x
  3. Step 3: Cross multiply
    9,794x = 14,819 × 14,819
  4. Step 4: Simplify right side
    9,794x = 219,602,761
  5. Step 5: Solve for x
    x = 219,602,761/9,794
  6. Step 6: Final answer
    x = 22,422.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.