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Finding the Third Proportional to 23,896.50 and 49,752.50

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Solution

The third proportional to 23,896.50 and 49,752.50 is: 103,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,896.50 : 49,752.50 = 49,752.50 : x
  2. Step 2: Convert to fraction form
    23,896.50/49,752.50 = 49,752.50/x
  3. Step 3: Cross multiply
    23,896.50x = 49,752.50 × 49,752.50
  4. Step 4: Simplify right side
    23,896.50x = 2,475,311,256.25
  5. Step 5: Solve for x
    x = 2,475,311,256.25/23,896.50
  6. Step 6: Final answer
    x = 103,584.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.