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Finding the Third Proportional to 3,495.66 and 7,558.31

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Solution

The third proportional to 3,495.66 and 7,558.31 is: 16,342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.66 : 7,558.31 = 7,558.31 : x
  2. Step 2: Convert to fraction form
    3,495.66/7,558.31 = 7,558.31/x
  3. Step 3: Cross multiply
    3,495.66x = 7,558.31 × 7,558.31
  4. Step 4: Simplify right side
    3,495.66x = 57,128,087.85
  5. Step 5: Solve for x
    x = 57,128,087.85/3,495.66
  6. Step 6: Final answer
    x = 16,342.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.