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Finding the Third Proportional to 9,606.09 and 19,690.59

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Solution

The third proportional to 9,606.09 and 19,690.59 is: 40,361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.09 : 19,690.59 = 19,690.59 : x
  2. Step 2: Convert to fraction form
    9,606.09/19,690.59 = 19,690.59/x
  3. Step 3: Cross multiply
    9,606.09x = 19,690.59 × 19,690.59
  4. Step 4: Simplify right side
    9,606.09x = 387,719,482.23
  5. Step 5: Solve for x
    x = 387,719,482.23/9,606.09
  6. Step 6: Final answer
    x = 40,361.83

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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.