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Finding the Third Proportional to 3,150.56 and 7,409.81

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Solution

The third proportional to 3,150.56 and 7,409.81 is: 17,427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,150.56 : 7,409.81 = 7,409.81 : x
  2. Step 2: Convert to fraction form
    3,150.56/7,409.81 = 7,409.81/x
  3. Step 3: Cross multiply
    3,150.56x = 7,409.81 × 7,409.81
  4. Step 4: Simplify right side
    3,150.56x = 54,905,321.29
  5. Step 5: Solve for x
    x = 54,905,321.29/3,150.56
  6. Step 6: Final answer
    x = 17,427.15

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.