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Finding the Third Proportional to 5,493.75 and 8,137.88

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Solution

The third proportional to 5,493.75 and 8,137.88 is: 12,054.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.75 : 8,137.88 = 8,137.88 : x
  2. Step 2: Convert to fraction form
    5,493.75/8,137.88 = 8,137.88/x
  3. Step 3: Cross multiply
    5,493.75x = 8,137.88 × 8,137.88
  4. Step 4: Simplify right side
    5,493.75x = 66,225,009.52
  5. Step 5: Solve for x
    x = 66,225,009.52/5,493.75
  6. Step 6: Final answer
    x = 12,054.61

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.