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Finding the Third Proportional to 2,455.31 and 5,435.86

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Solution

The third proportional to 2,455.31 and 5,435.86 is: 12,034.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.31 : 5,435.86 = 5,435.86 : x
  2. Step 2: Convert to fraction form
    2,455.31/5,435.86 = 5,435.86/x
  3. Step 3: Cross multiply
    2,455.31x = 5,435.86 × 5,435.86
  4. Step 4: Simplify right side
    2,455.31x = 29,548,567.14
  5. Step 5: Solve for x
    x = 29,548,567.14/2,455.31
  6. Step 6: Final answer
    x = 12,034.54

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.