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Finding the Third Proportional to 835.56 and 1,810.63

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Solution

The third proportional to 835.56 and 1,810.63 is: 3,923.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.56 : 1,810.63 = 1,810.63 : x
  2. Step 2: Convert to fraction form
    835.56/1,810.63 = 1,810.63/x
  3. Step 3: Cross multiply
    835.56x = 1,810.63 × 1,810.63
  4. Step 4: Simplify right side
    835.56x = 3,278,362.89
  5. Step 5: Solve for x
    x = 3,278,362.89/835.56
  6. Step 6: Final answer
    x = 3,923.54

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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.