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Finding the Third Proportional to 1,708 and 2,068

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Solution

The third proportional to 1,708 and 2,068 is: 2,503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708 : 2,068 = 2,068 : x
  2. Step 2: Convert to fraction form
    1,708/2,068 = 2,068/x
  3. Step 3: Cross multiply
    1,708x = 2,068 × 2,068
  4. Step 4: Simplify right side
    1,708x = 4,276,624
  5. Step 5: Solve for x
    x = 4,276,624/1,708
  6. Step 6: Final answer
    x = 2,503.88

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.