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Finding the Third Proportional to 7,295.06 and 12,093.05

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Solution

The third proportional to 7,295.06 and 12,093.05 is: 20,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.06 : 12,093.05 = 12,093.05 : x
  2. Step 2: Convert to fraction form
    7,295.06/12,093.05 = 12,093.05/x
  3. Step 3: Cross multiply
    7,295.06x = 12,093.05 × 12,093.05
  4. Step 4: Simplify right side
    7,295.06x = 146,241,782.72
  5. Step 5: Solve for x
    x = 146,241,782.72/7,295.06
  6. Step 6: Final answer
    x = 20,046.68

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.