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Finding the Third Proportional to 834.75 and 1,826.63

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Solution

The third proportional to 834.75 and 1,826.63 is: 3,997.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.75 : 1,826.63 = 1,826.63 : x
  2. Step 2: Convert to fraction form
    834.75/1,826.63 = 1,826.63/x
  3. Step 3: Cross multiply
    834.75x = 1,826.63 × 1,826.63
  4. Step 4: Simplify right side
    834.75x = 3,336,558.89
  5. Step 5: Solve for x
    x = 3,336,558.89/834.75
  6. Step 6: Final answer
    x = 3,997.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.