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Finding the Third Proportional to 4,153.15 and 9,006.82

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Solution

The third proportional to 4,153.15 and 9,006.82 is: 19,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.15 : 9,006.82 = 9,006.82 : x
  2. Step 2: Convert to fraction form
    4,153.15/9,006.82 = 9,006.82/x
  3. Step 3: Cross multiply
    4,153.15x = 9,006.82 × 9,006.82
  4. Step 4: Simplify right side
    4,153.15x = 81,122,812.14
  5. Step 5: Solve for x
    x = 81,122,812.14/4,153.15
  6. Step 6: Final answer
    x = 19,532.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.