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Finding the Third Proportional to 3,405.56 and 7,272.94

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Solution

The third proportional to 3,405.56 and 7,272.94 is: 15,532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.56 : 7,272.94 = 7,272.94 : x
  2. Step 2: Convert to fraction form
    3,405.56/7,272.94 = 7,272.94/x
  3. Step 3: Cross multiply
    3,405.56x = 7,272.94 × 7,272.94
  4. Step 4: Simplify right side
    3,405.56x = 52,895,619.88
  5. Step 5: Solve for x
    x = 52,895,619.88/3,405.56
  6. Step 6: Final answer
    x = 15,532.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.