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Finding the Third Proportional to 1,172.07 and 1,754.79

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Solution

The third proportional to 1,172.07 and 1,754.79 is: 2,627.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.07 : 1,754.79 = 1,754.79 : x
  2. Step 2: Convert to fraction form
    1,172.07/1,754.79 = 1,754.79/x
  3. Step 3: Cross multiply
    1,172.07x = 1,754.79 × 1,754.79
  4. Step 4: Simplify right side
    1,172.07x = 3,079,284.65
  5. Step 5: Solve for x
    x = 3,079,284.65/1,172.07
  6. Step 6: Final answer
    x = 2,627.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.