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Finding the Third Proportional to 5,952.94 and 13,080.94

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Solution

The third proportional to 5,952.94 and 13,080.94 is: 28,743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.94 : 13,080.94 = 13,080.94 : x
  2. Step 2: Convert to fraction form
    5,952.94/13,080.94 = 13,080.94/x
  3. Step 3: Cross multiply
    5,952.94x = 13,080.94 × 13,080.94
  4. Step 4: Simplify right side
    5,952.94x = 171,110,925.88
  5. Step 5: Solve for x
    x = 171,110,925.88/5,952.94
  6. Step 6: Final answer
    x = 28,743.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.