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Finding the Third Proportional to 3,043.69 and 6,645.94

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Solution

The third proportional to 3,043.69 and 6,645.94 is: 14,511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.69 : 6,645.94 = 6,645.94 : x
  2. Step 2: Convert to fraction form
    3,043.69/6,645.94 = 6,645.94/x
  3. Step 3: Cross multiply
    3,043.69x = 6,645.94 × 6,645.94
  4. Step 4: Simplify right side
    3,043.69x = 44,168,485.25
  5. Step 5: Solve for x
    x = 44,168,485.25/3,043.69
  6. Step 6: Final answer
    x = 14,511.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.