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Finding the Third Proportional to 3,531.09 and 5,835.80

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Solution

The third proportional to 3,531.09 and 5,835.80 is: 9,644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.09 : 5,835.80 = 5,835.80 : x
  2. Step 2: Convert to fraction form
    3,531.09/5,835.80 = 5,835.80/x
  3. Step 3: Cross multiply
    3,531.09x = 5,835.80 × 5,835.80
  4. Step 4: Simplify right side
    3,531.09x = 34,056,525.17
  5. Step 5: Solve for x
    x = 34,056,525.17/3,531.09
  6. Step 6: Final answer
    x = 9,644.75

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.