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Finding the Third Proportional to 2,731.85 and 5,950.18

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Solution

The third proportional to 2,731.85 and 5,950.18 is: 12,959.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.85 : 5,950.18 = 5,950.18 : x
  2. Step 2: Convert to fraction form
    2,731.85/5,950.18 = 5,950.18/x
  3. Step 3: Cross multiply
    2,731.85x = 5,950.18 × 5,950.18
  4. Step 4: Simplify right side
    2,731.85x = 35,404,615.07
  5. Step 5: Solve for x
    x = 35,404,615.07/2,731.85
  6. Step 6: Final answer
    x = 12,959.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.