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Finding the Third Proportional to 1,829.46 and 2,193.96

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Solution

The third proportional to 1,829.46 and 2,193.96 is: 2,631.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.46 : 2,193.96 = 2,193.96 : x
  2. Step 2: Convert to fraction form
    1,829.46/2,193.96 = 2,193.96/x
  3. Step 3: Cross multiply
    1,829.46x = 2,193.96 × 2,193.96
  4. Step 4: Simplify right side
    1,829.46x = 4,813,464.60
  5. Step 5: Solve for x
    x = 4,813,464.60/1,829.46
  6. Step 6: Final answer
    x = 2,631.08

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.