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Finding the Third Proportional to 671.16 and 1,361.16

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Solution

The third proportional to 671.16 and 1,361.16 is: 2,760.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.16 : 1,361.16 = 1,361.16 : x
  2. Step 2: Convert to fraction form
    671.16/1,361.16 = 1,361.16/x
  3. Step 3: Cross multiply
    671.16x = 1,361.16 × 1,361.16
  4. Step 4: Simplify right side
    671.16x = 1,852,746.34
  5. Step 5: Solve for x
    x = 1,852,746.34/671.16
  6. Step 6: Final answer
    x = 2,760.53

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.