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Finding the Third Proportional to 24,452 and 36,100

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Solution

The third proportional to 24,452 and 36,100 is: 53,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,452 : 36,100 = 36,100 : x
  2. Step 2: Convert to fraction form
    24,452/36,100 = 36,100/x
  3. Step 3: Cross multiply
    24,452x = 36,100 × 36,100
  4. Step 4: Simplify right side
    24,452x = 1,303,210,000
  5. Step 5: Solve for x
    x = 1,303,210,000/24,452
  6. Step 6: Final answer
    x = 53,296.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.