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Finding the Third Proportional to 23,821.50 and 51,794.63

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Solution

The third proportional to 23,821.50 and 51,794.63 is: 112,616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,821.50 : 51,794.63 = 51,794.63 : x
  2. Step 2: Convert to fraction form
    23,821.50/51,794.63 = 51,794.63/x
  3. Step 3: Cross multiply
    23,821.50x = 51,794.63 × 51,794.63
  4. Step 4: Simplify right side
    23,821.50x = 2,682,683,178.89
  5. Step 5: Solve for x
    x = 2,682,683,178.89/23,821.50
  6. Step 6: Final answer
    x = 112,616.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.