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Finding the Third Proportional to 13,784.06 and 30,194.44

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Solution

The third proportional to 13,784.06 and 30,194.44 is: 66,141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.06 : 30,194.44 = 30,194.44 : x
  2. Step 2: Convert to fraction form
    13,784.06/30,194.44 = 30,194.44/x
  3. Step 3: Cross multiply
    13,784.06x = 30,194.44 × 30,194.44
  4. Step 4: Simplify right side
    13,784.06x = 911,704,055.94
  5. Step 5: Solve for x
    x = 911,704,055.94/13,784.06
  6. Step 6: Final answer
    x = 66,141.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.