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Finding the Third Proportional to 1,698.75 and 3,344.06

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Solution

The third proportional to 1,698.75 and 3,344.06 is: 6,582.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.75 : 3,344.06 = 3,344.06 : x
  2. Step 2: Convert to fraction form
    1,698.75/3,344.06 = 3,344.06/x
  3. Step 3: Cross multiply
    1,698.75x = 3,344.06 × 3,344.06
  4. Step 4: Simplify right side
    1,698.75x = 11,182,754.00
  5. Step 5: Solve for x
    x = 11,182,754.00/1,698.75
  6. Step 6: Final answer
    x = 6,582.93

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.