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Finding the Third Proportional to 9,304.88 and 18,199.69

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Solution

The third proportional to 9,304.88 and 18,199.69 is: 35,597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.88 : 18,199.69 = 18,199.69 : x
  2. Step 2: Convert to fraction form
    9,304.88/18,199.69 = 18,199.69/x
  3. Step 3: Cross multiply
    9,304.88x = 18,199.69 × 18,199.69
  4. Step 4: Simplify right side
    9,304.88x = 331,228,625.10
  5. Step 5: Solve for x
    x = 331,228,625.10/9,304.88
  6. Step 6: Final answer
    x = 35,597.32

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.