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Finding the Third Proportional to 8,406.56 and 17,672.06

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Solution

The third proportional to 8,406.56 and 17,672.06 is: 37,149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.56 : 17,672.06 = 17,672.06 : x
  2. Step 2: Convert to fraction form
    8,406.56/17,672.06 = 17,672.06/x
  3. Step 3: Cross multiply
    8,406.56x = 17,672.06 × 17,672.06
  4. Step 4: Simplify right side
    8,406.56x = 312,301,793.00
  5. Step 5: Solve for x
    x = 312,301,793.00/8,406.56
  6. Step 6: Final answer
    x = 37,149.76

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.