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Finding the Third Proportional to 9,533 and 18,094

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Solution

The third proportional to 9,533 and 18,094 is: 34,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533 : 18,094 = 18,094 : x
  2. Step 2: Convert to fraction form
    9,533/18,094 = 18,094/x
  3. Step 3: Cross multiply
    9,533x = 18,094 × 18,094
  4. Step 4: Simplify right side
    9,533x = 327,392,836
  5. Step 5: Solve for x
    x = 327,392,836/9,533
  6. Step 6: Final answer
    x = 34,343.11

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.