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Finding the Third Proportional to 1,553.06 and 3,429.56

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Solution

The third proportional to 1,553.06 and 3,429.56 is: 7,573.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.06 : 3,429.56 = 3,429.56 : x
  2. Step 2: Convert to fraction form
    1,553.06/3,429.56 = 3,429.56/x
  3. Step 3: Cross multiply
    1,553.06x = 3,429.56 × 3,429.56
  4. Step 4: Simplify right side
    1,553.06x = 11,761,898.94
  5. Step 5: Solve for x
    x = 11,761,898.94/1,553.06
  6. Step 6: Final answer
    x = 7,573.36

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.