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Finding the Third Proportional to 1,558.41 and 3,352.22

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Solution

The third proportional to 1,558.41 and 3,352.22 is: 7,210.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.41 : 3,352.22 = 3,352.22 : x
  2. Step 2: Convert to fraction form
    1,558.41/3,352.22 = 3,352.22/x
  3. Step 3: Cross multiply
    1,558.41x = 3,352.22 × 3,352.22
  4. Step 4: Simplify right side
    1,558.41x = 11,237,370.55
  5. Step 5: Solve for x
    x = 11,237,370.55/1,558.41
  6. Step 6: Final answer
    x = 7,210.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.