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Finding the Third Proportional to 4,551.19 and 6,841.69

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Solution

The third proportional to 4,551.19 and 6,841.69 is: 10,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551.19 : 6,841.69 = 6,841.69 : x
  2. Step 2: Convert to fraction form
    4,551.19/6,841.69 = 6,841.69/x
  3. Step 3: Cross multiply
    4,551.19x = 6,841.69 × 6,841.69
  4. Step 4: Simplify right side
    4,551.19x = 46,808,687.85
  5. Step 5: Solve for x
    x = 46,808,687.85/4,551.19
  6. Step 6: Final answer
    x = 10,284.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.