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Finding the Third Proportional to 23,308 and 50,754.50

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Solution

The third proportional to 23,308 and 50,754.50 is: 110,520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,308 : 50,754.50 = 50,754.50 : x
  2. Step 2: Convert to fraction form
    23,308/50,754.50 = 50,754.50/x
  3. Step 3: Cross multiply
    23,308x = 50,754.50 × 50,754.50
  4. Step 4: Simplify right side
    23,308x = 2,576,019,270.25
  5. Step 5: Solve for x
    x = 2,576,019,270.25/23,308
  6. Step 6: Final answer
    x = 110,520.82

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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.