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Finding the Third Proportional to 12,119 and 24,683.50

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Solution

The third proportional to 12,119 and 24,683.50 is: 50,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119 : 24,683.50 = 24,683.50 : x
  2. Step 2: Convert to fraction form
    12,119/24,683.50 = 24,683.50/x
  3. Step 3: Cross multiply
    12,119x = 24,683.50 × 24,683.50
  4. Step 4: Simplify right side
    12,119x = 609,275,172.25
  5. Step 5: Solve for x
    x = 609,275,172.25/12,119
  6. Step 6: Final answer
    x = 50,274.38

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.