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Finding the Third Proportional to 9,107.44 and 18,705.94

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Solution

The third proportional to 9,107.44 and 18,705.94 is: 38,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.44 : 18,705.94 = 18,705.94 : x
  2. Step 2: Convert to fraction form
    9,107.44/18,705.94 = 18,705.94/x
  3. Step 3: Cross multiply
    9,107.44x = 18,705.94 × 18,705.94
  4. Step 4: Simplify right side
    9,107.44x = 349,912,097.75
  5. Step 5: Solve for x
    x = 349,912,097.75/9,107.44
  6. Step 6: Final answer
    x = 38,420.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.