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Finding the Third Proportional to 9,146 and 18,938

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Solution

The third proportional to 9,146 and 18,938 is: 39,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146 : 18,938 = 18,938 : x
  2. Step 2: Convert to fraction form
    9,146/18,938 = 18,938/x
  3. Step 3: Cross multiply
    9,146x = 18,938 × 18,938
  4. Step 4: Simplify right side
    9,146x = 358,647,844
  5. Step 5: Solve for x
    x = 358,647,844/9,146
  6. Step 6: Final answer
    x = 39,213.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.