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Finding the Third Proportional to 8,485.59 and 13,579.31

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Solution

The third proportional to 8,485.59 and 13,579.31 is: 21,730.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,485.59 : 13,579.31 = 13,579.31 : x
  2. Step 2: Convert to fraction form
    8,485.59/13,579.31 = 13,579.31/x
  3. Step 3: Cross multiply
    8,485.59x = 13,579.31 × 13,579.31
  4. Step 4: Simplify right side
    8,485.59x = 184,397,727.97
  5. Step 5: Solve for x
    x = 184,397,727.97/8,485.59
  6. Step 6: Final answer
    x = 21,730.68

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.