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Finding the Third Proportional to 3,702 and 4,802.75

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Solution

The third proportional to 3,702 and 4,802.75 is: 6,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702 : 4,802.75 = 4,802.75 : x
  2. Step 2: Convert to fraction form
    3,702/4,802.75 = 4,802.75/x
  3. Step 3: Cross multiply
    3,702x = 4,802.75 × 4,802.75
  4. Step 4: Simplify right side
    3,702x = 23,066,407.56
  5. Step 5: Solve for x
    x = 23,066,407.56/3,702
  6. Step 6: Final answer
    x = 6,230.80

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.