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Finding the Third Proportional to 16,818 and 39,644.44

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Solution

The third proportional to 16,818 and 39,644.44 is: 93,452.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,818 : 39,644.44 = 39,644.44 : x
  2. Step 2: Convert to fraction form
    16,818/39,644.44 = 39,644.44/x
  3. Step 3: Cross multiply
    16,818x = 39,644.44 × 39,644.44
  4. Step 4: Simplify right side
    16,818x = 1,571,681,424.69
  5. Step 5: Solve for x
    x = 1,571,681,424.69/16,818
  6. Step 6: Final answer
    x = 93,452.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.