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Finding the Third Proportional to 11,445.50 and 24,122

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Solution

The third proportional to 11,445.50 and 24,122 is: 50,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,445.50 : 24,122 = 24,122 : x
  2. Step 2: Convert to fraction form
    11,445.50/24,122 = 24,122/x
  3. Step 3: Cross multiply
    11,445.50x = 24,122 × 24,122
  4. Step 4: Simplify right side
    11,445.50x = 581,870,884
  5. Step 5: Solve for x
    x = 581,870,884/11,445.50
  6. Step 6: Final answer
    x = 50,838.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.