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Finding the Third Proportional to 9,226.69 and 19,109.81

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Solution

The third proportional to 9,226.69 and 19,109.81 is: 39,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.69 : 19,109.81 = 19,109.81 : x
  2. Step 2: Convert to fraction form
    9,226.69/19,109.81 = 19,109.81/x
  3. Step 3: Cross multiply
    9,226.69x = 19,109.81 × 19,109.81
  4. Step 4: Simplify right side
    9,226.69x = 365,184,933.79
  5. Step 5: Solve for x
    x = 365,184,933.79/9,226.69
  6. Step 6: Final answer
    x = 39,579.20

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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.