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Finding the Third Proportional to 11,584.50 and 24,969

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Solution

The third proportional to 11,584.50 and 24,969 is: 53,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.50 : 24,969 = 24,969 : x
  2. Step 2: Convert to fraction form
    11,584.50/24,969 = 24,969/x
  3. Step 3: Cross multiply
    11,584.50x = 24,969 × 24,969
  4. Step 4: Simplify right side
    11,584.50x = 623,450,961
  5. Step 5: Solve for x
    x = 623,450,961/11,584.50
  6. Step 6: Final answer
    x = 53,817.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.