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Finding the Third Proportional to 23,541 and 49,504.50

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Solution

The third proportional to 23,541 and 49,504.50 is: 104,103.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,541 : 49,504.50 = 49,504.50 : x
  2. Step 2: Convert to fraction form
    23,541/49,504.50 = 49,504.50/x
  3. Step 3: Cross multiply
    23,541x = 49,504.50 × 49,504.50
  4. Step 4: Simplify right side
    23,541x = 2,450,695,520.25
  5. Step 5: Solve for x
    x = 2,450,695,520.25/23,541
  6. Step 6: Final answer
    x = 104,103.29

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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.