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Finding the Third Proportional to 13,926.09 and 30,494.39

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Solution

The third proportional to 13,926.09 and 30,494.39 is: 66,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,926.09 : 30,494.39 = 30,494.39 : x
  2. Step 2: Convert to fraction form
    13,926.09/30,494.39 = 30,494.39/x
  3. Step 3: Cross multiply
    13,926.09x = 30,494.39 × 30,494.39
  4. Step 4: Simplify right side
    13,926.09x = 929,907,859.59
  5. Step 5: Solve for x
    x = 929,907,859.59/13,926.09
  6. Step 6: Final answer
    x = 66,774.49

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