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Finding the Third Proportional to 16,740 and 33,948

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Solution

The third proportional to 16,740 and 33,948 is: 68,845.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,740 : 33,948 = 33,948 : x
  2. Step 2: Convert to fraction form
    16,740/33,948 = 33,948/x
  3. Step 3: Cross multiply
    16,740x = 33,948 × 33,948
  4. Step 4: Simplify right side
    16,740x = 1,152,466,704
  5. Step 5: Solve for x
    x = 1,152,466,704/16,740
  6. Step 6: Final answer
    x = 68,845.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.