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Finding the Third Proportional to 1,698.63 and 3,742.06

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Solution

The third proportional to 1,698.63 and 3,742.06 is: 8,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.63 : 3,742.06 = 3,742.06 : x
  2. Step 2: Convert to fraction form
    1,698.63/3,742.06 = 3,742.06/x
  3. Step 3: Cross multiply
    1,698.63x = 3,742.06 × 3,742.06
  4. Step 4: Simplify right side
    1,698.63x = 14,002,995.21
  5. Step 5: Solve for x
    x = 14,002,995.21/1,698.63
  6. Step 6: Final answer
    x = 8,243.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.