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Finding the Third Proportional to 11,450.53 and 24,858.98

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Solution

The third proportional to 11,450.53 and 24,858.98 is: 53,968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450.53 : 24,858.98 = 24,858.98 : x
  2. Step 2: Convert to fraction form
    11,450.53/24,858.98 = 24,858.98/x
  3. Step 3: Cross multiply
    11,450.53x = 24,858.98 × 24,858.98
  4. Step 4: Simplify right side
    11,450.53x = 617,969,104.16
  5. Step 5: Solve for x
    x = 617,969,104.16/11,450.53
  6. Step 6: Final answer
    x = 53,968.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.