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Finding the Third Proportional to 24,881.75 and 54,683.50

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Solution

The third proportional to 24,881.75 and 54,683.50 is: 120,179.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,881.75 : 54,683.50 = 54,683.50 : x
  2. Step 2: Convert to fraction form
    24,881.75/54,683.50 = 54,683.50/x
  3. Step 3: Cross multiply
    24,881.75x = 54,683.50 × 54,683.50
  4. Step 4: Simplify right side
    24,881.75x = 2,990,285,172.25
  5. Step 5: Solve for x
    x = 2,990,285,172.25/24,881.75
  6. Step 6: Final answer
    x = 120,179.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.