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Finding the Third Proportional to 756.84 and 1,754.16

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Solution

The third proportional to 756.84 and 1,754.16 is: 4,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.84 : 1,754.16 = 1,754.16 : x
  2. Step 2: Convert to fraction form
    756.84/1,754.16 = 1,754.16/x
  3. Step 3: Cross multiply
    756.84x = 1,754.16 × 1,754.16
  4. Step 4: Simplify right side
    756.84x = 3,077,064.15
  5. Step 5: Solve for x
    x = 3,077,064.15/756.84
  6. Step 6: Final answer
    x = 4,065.65

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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.