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Finding the Third Proportional to 8,412.19 and 13,062.09

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Solution

The third proportional to 8,412.19 and 13,062.09 is: 20,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.19 : 13,062.09 = 13,062.09 : x
  2. Step 2: Convert to fraction form
    8,412.19/13,062.09 = 13,062.09/x
  3. Step 3: Cross multiply
    8,412.19x = 13,062.09 × 13,062.09
  4. Step 4: Simplify right side
    8,412.19x = 170,618,293.13
  5. Step 5: Solve for x
    x = 170,618,293.13/8,412.19
  6. Step 6: Final answer
    x = 20,282.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.