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Finding the Third Proportional to 1,995.75 and 3,475.69

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Solution

The third proportional to 1,995.75 and 3,475.69 is: 6,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.75 : 3,475.69 = 3,475.69 : x
  2. Step 2: Convert to fraction form
    1,995.75/3,475.69 = 3,475.69/x
  3. Step 3: Cross multiply
    1,995.75x = 3,475.69 × 3,475.69
  4. Step 4: Simplify right side
    1,995.75x = 12,080,403.60
  5. Step 5: Solve for x
    x = 12,080,403.60/1,995.75
  6. Step 6: Final answer
    x = 6,053.06

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.