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Finding the Third Proportional to 23,706 and 54,879.75

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Solution

The third proportional to 23,706 and 54,879.75 is: 127,047.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706 : 54,879.75 = 54,879.75 : x
  2. Step 2: Convert to fraction form
    23,706/54,879.75 = 54,879.75/x
  3. Step 3: Cross multiply
    23,706x = 54,879.75 × 54,879.75
  4. Step 4: Simplify right side
    23,706x = 3,011,786,960.06
  5. Step 5: Solve for x
    x = 3,011,786,960.06/23,706
  6. Step 6: Final answer
    x = 127,047.45

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.