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Finding the Third Proportional to 4,176.42 and 9,000.42

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Solution

The third proportional to 4,176.42 and 9,000.42 is: 19,396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.42 : 9,000.42 = 9,000.42 : x
  2. Step 2: Convert to fraction form
    4,176.42/9,000.42 = 9,000.42/x
  3. Step 3: Cross multiply
    4,176.42x = 9,000.42 × 9,000.42
  4. Step 4: Simplify right side
    4,176.42x = 81,007,593.93
  5. Step 5: Solve for x
    x = 81,007,593.93/4,176.42
  6. Step 6: Final answer
    x = 19,396.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.