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Finding the Third Proportional to 1,706.70 and 2,713.71

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Solution

The third proportional to 1,706.70 and 2,713.71 is: 4,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.70 : 2,713.71 = 2,713.71 : x
  2. Step 2: Convert to fraction form
    1,706.70/2,713.71 = 2,713.71/x
  3. Step 3: Cross multiply
    1,706.70x = 2,713.71 × 2,713.71
  4. Step 4: Simplify right side
    1,706.70x = 7,364,227.05
  5. Step 5: Solve for x
    x = 7,364,227.05/1,706.70
  6. Step 6: Final answer
    x = 4,314.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.