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Finding the Third Proportional to 9,828 and 18,184

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Solution

The third proportional to 9,828 and 18,184 is: 33,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828 : 18,184 = 18,184 : x
  2. Step 2: Convert to fraction form
    9,828/18,184 = 18,184/x
  3. Step 3: Cross multiply
    9,828x = 18,184 × 18,184
  4. Step 4: Simplify right side
    9,828x = 330,657,856
  5. Step 5: Solve for x
    x = 330,657,856/9,828
  6. Step 6: Final answer
    x = 33,644.47

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.