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Finding the Third Proportional to 1,566.56 and 3,428.44

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Solution

The third proportional to 1,566.56 and 3,428.44 is: 7,503.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.56 : 3,428.44 = 3,428.44 : x
  2. Step 2: Convert to fraction form
    1,566.56/3,428.44 = 3,428.44/x
  3. Step 3: Cross multiply
    1,566.56x = 3,428.44 × 3,428.44
  4. Step 4: Simplify right side
    1,566.56x = 11,754,183.69
  5. Step 5: Solve for x
    x = 11,754,183.69/1,566.56
  6. Step 6: Final answer
    x = 7,503.17

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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.