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Finding the Third Proportional to 23,145.75 and 51,553.97

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Solution

The third proportional to 23,145.75 and 51,553.97 is: 114,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,145.75 : 51,553.97 = 51,553.97 : x
  2. Step 2: Convert to fraction form
    23,145.75/51,553.97 = 51,553.97/x
  3. Step 3: Cross multiply
    23,145.75x = 51,553.97 × 51,553.97
  4. Step 4: Simplify right side
    23,145.75x = 2,657,811,693.88
  5. Step 5: Solve for x
    x = 2,657,811,693.88/23,145.75
  6. Step 6: Final answer
    x = 114,829.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.