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Finding the Third Proportional to 19,189 and 45,233

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Solution

The third proportional to 19,189 and 45,233 is: 106,624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,189 : 45,233 = 45,233 : x
  2. Step 2: Convert to fraction form
    19,189/45,233 = 45,233/x
  3. Step 3: Cross multiply
    19,189x = 45,233 × 45,233
  4. Step 4: Simplify right side
    19,189x = 2,046,024,289
  5. Step 5: Solve for x
    x = 2,046,024,289/19,189
  6. Step 6: Final answer
    x = 106,624.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.