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Finding the Third Proportional to 804.75 and 1,855.88

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Solution

The third proportional to 804.75 and 1,855.88 is: 4,279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.75 : 1,855.88 = 1,855.88 : x
  2. Step 2: Convert to fraction form
    804.75/1,855.88 = 1,855.88/x
  3. Step 3: Cross multiply
    804.75x = 1,855.88 × 1,855.88
  4. Step 4: Simplify right side
    804.75x = 3,444,272.02
  5. Step 5: Solve for x
    x = 3,444,272.02/804.75
  6. Step 6: Final answer
    x = 4,279.93

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.