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Finding the Third Proportional to 5,460.75 and 8,182.69

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Solution

The third proportional to 5,460.75 and 8,182.69 is: 12,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.75 : 8,182.69 = 8,182.69 : x
  2. Step 2: Convert to fraction form
    5,460.75/8,182.69 = 8,182.69/x
  3. Step 3: Cross multiply
    5,460.75x = 8,182.69 × 8,182.69
  4. Step 4: Simplify right side
    5,460.75x = 66,956,374.72
  5. Step 5: Solve for x
    x = 66,956,374.72/5,460.75
  6. Step 6: Final answer
    x = 12,261.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.