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Finding the Third Proportional to 3,412.13 and 8,125.31

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Solution

The third proportional to 3,412.13 and 8,125.31 is: 19,348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.13 : 8,125.31 = 8,125.31 : x
  2. Step 2: Convert to fraction form
    3,412.13/8,125.31 = 8,125.31/x
  3. Step 3: Cross multiply
    3,412.13x = 8,125.31 × 8,125.31
  4. Step 4: Simplify right side
    3,412.13x = 66,020,703.22
  5. Step 5: Solve for x
    x = 66,020,703.22/3,412.13
  6. Step 6: Final answer
    x = 19,348.85

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.