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Finding the Third Proportional to 6,106.22 and 13,305.94

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Solution

The third proportional to 6,106.22 and 13,305.94 is: 28,994.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.22 : 13,305.94 = 13,305.94 : x
  2. Step 2: Convert to fraction form
    6,106.22/13,305.94 = 13,305.94/x
  3. Step 3: Cross multiply
    6,106.22x = 13,305.94 × 13,305.94
  4. Step 4: Simplify right side
    6,106.22x = 177,047,972.75
  5. Step 5: Solve for x
    x = 177,047,972.75/6,106.22
  6. Step 6: Final answer
    x = 28,994.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.