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Finding the Third Proportional to 5,949.70 and 12,926.46

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Solution

The third proportional to 5,949.70 and 12,926.46 is: 28,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.70 : 12,926.46 = 12,926.46 : x
  2. Step 2: Convert to fraction form
    5,949.70/12,926.46 = 12,926.46/x
  3. Step 3: Cross multiply
    5,949.70x = 12,926.46 × 12,926.46
  4. Step 4: Simplify right side
    5,949.70x = 167,093,392.37
  5. Step 5: Solve for x
    x = 167,093,392.37/5,949.70
  6. Step 6: Final answer
    x = 28,084.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.