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Finding the Third Proportional to 4,551.19 and 8,965.69

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Solution

The third proportional to 4,551.19 and 8,965.69 is: 17,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551.19 : 8,965.69 = 8,965.69 : x
  2. Step 2: Convert to fraction form
    4,551.19/8,965.69 = 8,965.69/x
  3. Step 3: Cross multiply
    4,551.19x = 8,965.69 × 8,965.69
  4. Step 4: Simplify right side
    4,551.19x = 80,383,552.35
  5. Step 5: Solve for x
    x = 80,383,552.35/4,551.19
  6. Step 6: Final answer
    x = 17,662.11

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.