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Finding the Third Proportional to 1,742.06 and 3,263.06

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Solution

The third proportional to 1,742.06 and 3,263.06 is: 6,112.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.06 : 3,263.06 = 3,263.06 : x
  2. Step 2: Convert to fraction form
    1,742.06/3,263.06 = 3,263.06/x
  3. Step 3: Cross multiply
    1,742.06x = 3,263.06 × 3,263.06
  4. Step 4: Simplify right side
    1,742.06x = 10,647,576.88
  5. Step 5: Solve for x
    x = 10,647,576.88/1,742.06
  6. Step 6: Final answer
    x = 6,112.05

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.