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Finding the Third Proportional to 7,376.06 and 14,382.56

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Solution

The third proportional to 7,376.06 and 14,382.56 is: 28,044.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,376.06 : 14,382.56 = 14,382.56 : x
  2. Step 2: Convert to fraction form
    7,376.06/14,382.56 = 14,382.56/x
  3. Step 3: Cross multiply
    7,376.06x = 14,382.56 × 14,382.56
  4. Step 4: Simplify right side
    7,376.06x = 206,858,104.07
  5. Step 5: Solve for x
    x = 206,858,104.07/7,376.06
  6. Step 6: Final answer
    x = 28,044.52

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.