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Finding the Third Proportional to 1,146.94 and 2,361.94

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Solution

The third proportional to 1,146.94 and 2,361.94 is: 4,864.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.94 : 2,361.94 = 2,361.94 : x
  2. Step 2: Convert to fraction form
    1,146.94/2,361.94 = 2,361.94/x
  3. Step 3: Cross multiply
    1,146.94x = 2,361.94 × 2,361.94
  4. Step 4: Simplify right side
    1,146.94x = 5,578,748.75
  5. Step 5: Solve for x
    x = 5,578,748.75/1,146.94
  6. Step 6: Final answer
    x = 4,864.04

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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.