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Finding the Third Proportional to 3,313.56 and 4,355.17

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Solution

The third proportional to 3,313.56 and 4,355.17 is: 5,724.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.56 : 4,355.17 = 4,355.17 : x
  2. Step 2: Convert to fraction form
    3,313.56/4,355.17 = 4,355.17/x
  3. Step 3: Cross multiply
    3,313.56x = 4,355.17 × 4,355.17
  4. Step 4: Simplify right side
    3,313.56x = 18,967,539.07
  5. Step 5: Solve for x
    x = 18,967,539.07/3,313.56
  6. Step 6: Final answer
    x = 5,724.21

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.