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Finding the Third Proportional to 9,282 and 18,099

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Solution

The third proportional to 9,282 and 18,099 is: 35,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282 : 18,099 = 18,099 : x
  2. Step 2: Convert to fraction form
    9,282/18,099 = 18,099/x
  3. Step 3: Cross multiply
    9,282x = 18,099 × 18,099
  4. Step 4: Simplify right side
    9,282x = 327,573,801
  5. Step 5: Solve for x
    x = 327,573,801/9,282
  6. Step 6: Final answer
    x = 35,291.30

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.