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Finding the Third Proportional to 18,176.50 and 24,551

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Solution

The third proportional to 18,176.50 and 24,551 is: 33,161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,176.50 : 24,551 = 24,551 : x
  2. Step 2: Convert to fraction form
    18,176.50/24,551 = 24,551/x
  3. Step 3: Cross multiply
    18,176.50x = 24,551 × 24,551
  4. Step 4: Simplify right side
    18,176.50x = 602,751,601
  5. Step 5: Solve for x
    x = 602,751,601/18,176.50
  6. Step 6: Final answer
    x = 33,161.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.