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Finding the Third Proportional to 18,609 and 40,558.50

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Solution

The third proportional to 18,609 and 40,558.50 is: 88,397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,609 : 40,558.50 = 40,558.50 : x
  2. Step 2: Convert to fraction form
    18,609/40,558.50 = 40,558.50/x
  3. Step 3: Cross multiply
    18,609x = 40,558.50 × 40,558.50
  4. Step 4: Simplify right side
    18,609x = 1,644,991,922.25
  5. Step 5: Solve for x
    x = 1,644,991,922.25/18,609
  6. Step 6: Final answer
    x = 88,397.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.