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Finding the Third Proportional to 18,734.50 and 28,225.50

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Solution

The third proportional to 18,734.50 and 28,225.50 is: 42,524.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,734.50 : 28,225.50 = 28,225.50 : x
  2. Step 2: Convert to fraction form
    18,734.50/28,225.50 = 28,225.50/x
  3. Step 3: Cross multiply
    18,734.50x = 28,225.50 × 28,225.50
  4. Step 4: Simplify right side
    18,734.50x = 796,678,850.25
  5. Step 5: Solve for x
    x = 796,678,850.25/18,734.50
  6. Step 6: Final answer
    x = 42,524.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.