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Finding the Third Proportional to 5,880.09 and 12,660.47

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Solution

The third proportional to 5,880.09 and 12,660.47 is: 27,259.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880.09 : 12,660.47 = 12,660.47 : x
  2. Step 2: Convert to fraction form
    5,880.09/12,660.47 = 12,660.47/x
  3. Step 3: Cross multiply
    5,880.09x = 12,660.47 × 12,660.47
  4. Step 4: Simplify right side
    5,880.09x = 160,287,468.97
  5. Step 5: Solve for x
    x = 160,287,468.97/5,880.09
  6. Step 6: Final answer
    x = 27,259.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.