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Finding the Third Proportional to 18,464.50 and 44,516

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Solution

The third proportional to 18,464.50 and 44,516 is: 107,323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,464.50 : 44,516 = 44,516 : x
  2. Step 2: Convert to fraction form
    18,464.50/44,516 = 44,516/x
  3. Step 3: Cross multiply
    18,464.50x = 44,516 × 44,516
  4. Step 4: Simplify right side
    18,464.50x = 1,981,674,256
  5. Step 5: Solve for x
    x = 1,981,674,256/18,464.50
  6. Step 6: Final answer
    x = 107,323.47

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.