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Finding the Third Proportional to 23,077 and 36,152

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Solution

The third proportional to 23,077 and 36,152 is: 56,635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,077 : 36,152 = 36,152 : x
  2. Step 2: Convert to fraction form
    23,077/36,152 = 36,152/x
  3. Step 3: Cross multiply
    23,077x = 36,152 × 36,152
  4. Step 4: Simplify right side
    23,077x = 1,306,967,104
  5. Step 5: Solve for x
    x = 1,306,967,104/23,077
  6. Step 6: Final answer
    x = 56,635.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.