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Finding the Third Proportional to 24,108 and 53,400

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Solution

The third proportional to 24,108 and 53,400 is: 118,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,108 : 53,400 = 53,400 : x
  2. Step 2: Convert to fraction form
    24,108/53,400 = 53,400/x
  3. Step 3: Cross multiply
    24,108x = 53,400 × 53,400
  4. Step 4: Simplify right side
    24,108x = 2,851,560,000
  5. Step 5: Solve for x
    x = 2,851,560,000/24,108
  6. Step 6: Final answer
    x = 118,282.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.