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Finding the Third Proportional to 23,500.50 and 49,425

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Solution

The third proportional to 23,500.50 and 49,425 is: 103,948.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,500.50 : 49,425 = 49,425 : x
  2. Step 2: Convert to fraction form
    23,500.50/49,425 = 49,425/x
  3. Step 3: Cross multiply
    23,500.50x = 49,425 × 49,425
  4. Step 4: Simplify right side
    23,500.50x = 2,442,830,625
  5. Step 5: Solve for x
    x = 2,442,830,625/23,500.50
  6. Step 6: Final answer
    x = 103,948.03

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.