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Finding the Third Proportional to 3,531.94 and 7,612.31

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Solution

The third proportional to 3,531.94 and 7,612.31 is: 16,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.94 : 7,612.31 = 7,612.31 : x
  2. Step 2: Convert to fraction form
    3,531.94/7,612.31 = 7,612.31/x
  3. Step 3: Cross multiply
    3,531.94x = 7,612.31 × 7,612.31
  4. Step 4: Simplify right side
    3,531.94x = 57,947,301.60
  5. Step 5: Solve for x
    x = 57,947,301.60/3,531.94
  6. Step 6: Final answer
    x = 16,406.66

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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.