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Finding the Third Proportional to 804.75 and 1,742.75

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Solution

The third proportional to 804.75 and 1,742.75 is: 3,774.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.75 : 1,742.75 = 1,742.75 : x
  2. Step 2: Convert to fraction form
    804.75/1,742.75 = 1,742.75/x
  3. Step 3: Cross multiply
    804.75x = 1,742.75 × 1,742.75
  4. Step 4: Simplify right side
    804.75x = 3,037,177.56
  5. Step 5: Solve for x
    x = 3,037,177.56/804.75
  6. Step 6: Final answer
    x = 3,774.06

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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.