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Finding the Third Proportional to 16,880 and 37,216

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Solution

The third proportional to 16,880 and 37,216 is: 82,051.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,880 : 37,216 = 37,216 : x
  2. Step 2: Convert to fraction form
    16,880/37,216 = 37,216/x
  3. Step 3: Cross multiply
    16,880x = 37,216 × 37,216
  4. Step 4: Simplify right side
    16,880x = 1,385,030,656
  5. Step 5: Solve for x
    x = 1,385,030,656/16,880
  6. Step 6: Final answer
    x = 82,051.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.