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Finding the Third Proportional to 19,000.50 and 41,245.88

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Solution

The third proportional to 19,000.50 and 41,245.88 is: 89,535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,000.50 : 41,245.88 = 41,245.88 : x
  2. Step 2: Convert to fraction form
    19,000.50/41,245.88 = 41,245.88/x
  3. Step 3: Cross multiply
    19,000.50x = 41,245.88 × 41,245.88
  4. Step 4: Simplify right side
    19,000.50x = 1,701,222,204.52
  5. Step 5: Solve for x
    x = 1,701,222,204.52/19,000.50
  6. Step 6: Final answer
    x = 89,535.65

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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.