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Finding the Third Proportional to 9,100 and 18,956

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Solution

The third proportional to 9,100 and 18,956 is: 39,486.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100 : 18,956 = 18,956 : x
  2. Step 2: Convert to fraction form
    9,100/18,956 = 18,956/x
  3. Step 3: Cross multiply
    9,100x = 18,956 × 18,956
  4. Step 4: Simplify right side
    9,100x = 359,329,936
  5. Step 5: Solve for x
    x = 359,329,936/9,100
  6. Step 6: Final answer
    x = 39,486.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.