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Finding the Third Proportional to 13,926.94 and 22,378.78

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Solution

The third proportional to 13,926.94 and 22,378.78 is: 35,959.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,926.94 : 22,378.78 = 22,378.78 : x
  2. Step 2: Convert to fraction form
    13,926.94/22,378.78 = 22,378.78/x
  3. Step 3: Cross multiply
    13,926.94x = 22,378.78 × 22,378.78
  4. Step 4: Simplify right side
    13,926.94x = 500,809,850.24
  5. Step 5: Solve for x
    x = 500,809,850.24/13,926.94
  6. Step 6: Final answer
    x = 35,959.80

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.