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Finding the Third Proportional to 23,670.98 and 51,795.70

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Solution

The third proportional to 23,670.98 and 51,795.70 is: 113,336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,670.98 : 51,795.70 = 51,795.70 : x
  2. Step 2: Convert to fraction form
    23,670.98/51,795.70 = 51,795.70/x
  3. Step 3: Cross multiply
    23,670.98x = 51,795.70 × 51,795.70
  4. Step 4: Simplify right side
    23,670.98x = 2,682,794,862.21
  5. Step 5: Solve for x
    x = 2,682,794,862.21/23,670.98
  6. Step 6: Final answer
    x = 113,336.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.