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Finding the Third Proportional to 674.81 and 1,568.06

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Solution

The third proportional to 674.81 and 1,568.06 is: 3,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.81 : 1,568.06 = 1,568.06 : x
  2. Step 2: Convert to fraction form
    674.81/1,568.06 = 1,568.06/x
  3. Step 3: Cross multiply
    674.81x = 1,568.06 × 1,568.06
  4. Step 4: Simplify right side
    674.81x = 2,458,820.00
  5. Step 5: Solve for x
    x = 2,458,820.00/674.81
  6. Step 6: Final answer
    x = 3,643.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.