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Finding the Third Proportional to 3,344.63 and 4,476.94

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Solution

The third proportional to 3,344.63 and 4,476.94 is: 5,992.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.63 : 4,476.94 = 4,476.94 : x
  2. Step 2: Convert to fraction form
    3,344.63/4,476.94 = 4,476.94/x
  3. Step 3: Cross multiply
    3,344.63x = 4,476.94 × 4,476.94
  4. Step 4: Simplify right side
    3,344.63x = 20,042,969.38
  5. Step 5: Solve for x
    x = 20,042,969.38/3,344.63
  6. Step 6: Final answer
    x = 5,992.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.