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Finding the Third Proportional to 1,558.88 and 3,296.63

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Solution

The third proportional to 1,558.88 and 3,296.63 is: 6,971.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.88 : 3,296.63 = 3,296.63 : x
  2. Step 2: Convert to fraction form
    1,558.88/3,296.63 = 3,296.63/x
  3. Step 3: Cross multiply
    1,558.88x = 3,296.63 × 3,296.63
  4. Step 4: Simplify right side
    1,558.88x = 10,867,736.39
  5. Step 5: Solve for x
    x = 10,867,736.39/1,558.88
  6. Step 6: Final answer
    x = 6,971.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.