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Finding the Third Proportional to 5,090.06 and 11,106.56

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Solution

The third proportional to 5,090.06 and 11,106.56 is: 24,234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.06 : 11,106.56 = 11,106.56 : x
  2. Step 2: Convert to fraction form
    5,090.06/11,106.56 = 11,106.56/x
  3. Step 3: Cross multiply
    5,090.06x = 11,106.56 × 11,106.56
  4. Step 4: Simplify right side
    5,090.06x = 123,355,730.57
  5. Step 5: Solve for x
    x = 123,355,730.57/5,090.06
  6. Step 6: Final answer
    x = 24,234.62

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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.