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Finding the Third Proportional to 1,505.46 and 3,102.05

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Solution

The third proportional to 1,505.46 and 3,102.05 is: 6,391.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.46 : 3,102.05 = 3,102.05 : x
  2. Step 2: Convert to fraction form
    1,505.46/3,102.05 = 3,102.05/x
  3. Step 3: Cross multiply
    1,505.46x = 3,102.05 × 3,102.05
  4. Step 4: Simplify right side
    1,505.46x = 9,622,694.81
  5. Step 5: Solve for x
    x = 9,622,694.81/1,505.46
  6. Step 6: Final answer
    x = 6,391.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.