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Finding the Third Proportional to 3,043.97 and 6,646.22

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Solution

The third proportional to 3,043.97 and 6,646.22 is: 14,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.97 : 6,646.22 = 6,646.22 : x
  2. Step 2: Convert to fraction form
    3,043.97/6,646.22 = 6,646.22/x
  3. Step 3: Cross multiply
    3,043.97x = 6,646.22 × 6,646.22
  4. Step 4: Simplify right side
    3,043.97x = 44,172,223.67
  5. Step 5: Solve for x
    x = 44,172,223.67/3,043.97
  6. Step 6: Final answer
    x = 14,511.39

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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.