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Finding the Third Proportional to 3,412.13 and 4,588.31

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Solution

The third proportional to 3,412.13 and 4,588.31 is: 6,169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.13 : 4,588.31 = 4,588.31 : x
  2. Step 2: Convert to fraction form
    3,412.13/4,588.31 = 4,588.31/x
  3. Step 3: Cross multiply
    3,412.13x = 4,588.31 × 4,588.31
  4. Step 4: Simplify right side
    3,412.13x = 21,052,611.60
  5. Step 5: Solve for x
    x = 21,052,611.60/3,412.13
  6. Step 6: Final answer
    x = 6,169.94

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.