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Finding the Third Proportional to 23,378.63 and 50,106.09

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Solution

The third proportional to 23,378.63 and 50,106.09 is: 107,389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,378.63 : 50,106.09 = 50,106.09 : x
  2. Step 2: Convert to fraction form
    23,378.63/50,106.09 = 50,106.09/x
  3. Step 3: Cross multiply
    23,378.63x = 50,106.09 × 50,106.09
  4. Step 4: Simplify right side
    23,378.63x = 2,510,620,630.88
  5. Step 5: Solve for x
    x = 2,510,620,630.88/23,378.63
  6. Step 6: Final answer
    x = 107,389.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.