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Finding the Third Proportional to 3,371.63 and 7,122.94

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Solution

The third proportional to 3,371.63 and 7,122.94 is: 15,048.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.63 : 7,122.94 = 7,122.94 : x
  2. Step 2: Convert to fraction form
    3,371.63/7,122.94 = 7,122.94/x
  3. Step 3: Cross multiply
    3,371.63x = 7,122.94 × 7,122.94
  4. Step 4: Simplify right side
    3,371.63x = 50,736,238.63
  5. Step 5: Solve for x
    x = 50,736,238.63/3,371.63
  6. Step 6: Final answer
    x = 15,048.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.