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Finding the Third Proportional to 10,420.88 and 16,161.19

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Solution

The third proportional to 10,420.88 and 16,161.19 is: 25,063.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.88 : 16,161.19 = 16,161.19 : x
  2. Step 2: Convert to fraction form
    10,420.88/16,161.19 = 16,161.19/x
  3. Step 3: Cross multiply
    10,420.88x = 16,161.19 × 16,161.19
  4. Step 4: Simplify right side
    10,420.88x = 261,183,981.41
  5. Step 5: Solve for x
    x = 261,183,981.41/10,420.88
  6. Step 6: Final answer
    x = 25,063.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.