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Finding the Third Proportional to 5,907.94 and 8,512.59

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Solution

The third proportional to 5,907.94 and 8,512.59 is: 12,265.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,907.94 : 8,512.59 = 8,512.59 : x
  2. Step 2: Convert to fraction form
    5,907.94/8,512.59 = 8,512.59/x
  3. Step 3: Cross multiply
    5,907.94x = 8,512.59 × 8,512.59
  4. Step 4: Simplify right side
    5,907.94x = 72,464,252.35
  5. Step 5: Solve for x
    x = 72,464,252.35/5,907.94
  6. Step 6: Final answer
    x = 12,265.58

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.