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Finding the Third Proportional to 24,441.75 and 36,554.25

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Solution

The third proportional to 24,441.75 and 36,554.25 is: 54,669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,441.75 : 36,554.25 = 36,554.25 : x
  2. Step 2: Convert to fraction form
    24,441.75/36,554.25 = 36,554.25/x
  3. Step 3: Cross multiply
    24,441.75x = 36,554.25 × 36,554.25
  4. Step 4: Simplify right side
    24,441.75x = 1,336,213,193.06
  5. Step 5: Solve for x
    x = 1,336,213,193.06/24,441.75
  6. Step 6: Final answer
    x = 54,669.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.