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Finding the Third Proportional to 3,213.75 and 7,042.94

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Solution

The third proportional to 3,213.75 and 7,042.94 is: 15,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.75 : 7,042.94 = 7,042.94 : x
  2. Step 2: Convert to fraction form
    3,213.75/7,042.94 = 7,042.94/x
  3. Step 3: Cross multiply
    3,213.75x = 7,042.94 × 7,042.94
  4. Step 4: Simplify right side
    3,213.75x = 49,602,968.63
  5. Step 5: Solve for x
    x = 49,602,968.63/3,213.75
  6. Step 6: Final answer
    x = 15,434.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.