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Finding the Third Proportional to 9,086 and 19,466

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Solution

The third proportional to 9,086 and 19,466 is: 41,704.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086 : 19,466 = 19,466 : x
  2. Step 2: Convert to fraction form
    9,086/19,466 = 19,466/x
  3. Step 3: Cross multiply
    9,086x = 19,466 × 19,466
  4. Step 4: Simplify right side
    9,086x = 378,925,156
  5. Step 5: Solve for x
    x = 378,925,156/9,086
  6. Step 6: Final answer
    x = 41,704.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.