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Finding the Third Proportional to 1,659.94 and 3,594.94

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Solution

The third proportional to 1,659.94 and 3,594.94 is: 7,785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.94 : 3,594.94 = 3,594.94 : x
  2. Step 2: Convert to fraction form
    1,659.94/3,594.94 = 3,594.94/x
  3. Step 3: Cross multiply
    1,659.94x = 3,594.94 × 3,594.94
  4. Step 4: Simplify right side
    1,659.94x = 12,923,575.63
  5. Step 5: Solve for x
    x = 12,923,575.63/1,659.94
  6. Step 6: Final answer
    x = 7,785.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.