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Finding the Third Proportional to 23,107.50 and 49,500

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Solution

The third proportional to 23,107.50 and 49,500 is: 106,037.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107.50 : 49,500 = 49,500 : x
  2. Step 2: Convert to fraction form
    23,107.50/49,500 = 49,500/x
  3. Step 3: Cross multiply
    23,107.50x = 49,500 × 49,500
  4. Step 4: Simplify right side
    23,107.50x = 2,450,250,000
  5. Step 5: Solve for x
    x = 2,450,250,000/23,107.50
  6. Step 6: Final answer
    x = 106,037.00

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.