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Finding the Third Proportional to 1,516.25 and 3,330.06

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Solution

The third proportional to 1,516.25 and 3,330.06 is: 7,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.25 : 3,330.06 = 3,330.06 : x
  2. Step 2: Convert to fraction form
    1,516.25/3,330.06 = 3,330.06/x
  3. Step 3: Cross multiply
    1,516.25x = 3,330.06 × 3,330.06
  4. Step 4: Simplify right side
    1,516.25x = 11,089,316.25
  5. Step 5: Solve for x
    x = 11,089,316.25/1,516.25
  6. Step 6: Final answer
    x = 7,313.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.