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Finding the Third Proportional to 1,706.70 and 3,410.54

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Solution

The third proportional to 1,706.70 and 3,410.54 is: 6,815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.70 : 3,410.54 = 3,410.54 : x
  2. Step 2: Convert to fraction form
    1,706.70/3,410.54 = 3,410.54/x
  3. Step 3: Cross multiply
    1,706.70x = 3,410.54 × 3,410.54
  4. Step 4: Simplify right side
    1,706.70x = 11,631,803.34
  5. Step 5: Solve for x
    x = 11,631,803.34/1,706.70
  6. Step 6: Final answer
    x = 6,815.40

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.