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Finding the Third Proportional to 5,882.63 and 12,949.31

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Solution

The third proportional to 5,882.63 and 12,949.31 is: 28,505.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.63 : 12,949.31 = 12,949.31 : x
  2. Step 2: Convert to fraction form
    5,882.63/12,949.31 = 12,949.31/x
  3. Step 3: Cross multiply
    5,882.63x = 12,949.31 × 12,949.31
  4. Step 4: Simplify right side
    5,882.63x = 167,684,694.22
  5. Step 5: Solve for x
    x = 167,684,694.22/5,882.63
  6. Step 6: Final answer
    x = 28,505.08

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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.