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Finding the Third Proportional to 23,077 and 50,312

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Solution

The third proportional to 23,077 and 50,312 is: 109,689.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,077 : 50,312 = 50,312 : x
  2. Step 2: Convert to fraction form
    23,077/50,312 = 50,312/x
  3. Step 3: Cross multiply
    23,077x = 50,312 × 50,312
  4. Step 4: Simplify right side
    23,077x = 2,531,297,344
  5. Step 5: Solve for x
    x = 2,531,297,344/23,077
  6. Step 6: Final answer
    x = 109,689.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.