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Finding the Third Proportional to 23,077 and 48,584

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Solution

The third proportional to 23,077 and 48,584 is: 102,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,077 : 48,584 = 48,584 : x
  2. Step 2: Convert to fraction form
    23,077/48,584 = 48,584/x
  3. Step 3: Cross multiply
    23,077x = 48,584 × 48,584
  4. Step 4: Simplify right side
    23,077x = 2,360,405,056
  5. Step 5: Solve for x
    x = 2,360,405,056/23,077
  6. Step 6: Final answer
    x = 102,283.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.