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Finding the Third Proportional to 24,077 and 51,436

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Solution

The third proportional to 24,077 and 51,436 is: 109,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,077 : 51,436 = 51,436 : x
  2. Step 2: Convert to fraction form
    24,077/51,436 = 51,436/x
  3. Step 3: Cross multiply
    24,077x = 51,436 × 51,436
  4. Step 4: Simplify right side
    24,077x = 2,645,662,096
  5. Step 5: Solve for x
    x = 2,645,662,096/24,077
  6. Step 6: Final answer
    x = 109,883.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.