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Finding the Third Proportional to 16,965 and 37,318.50

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Solution

The third proportional to 16,965 and 37,318.50 is: 82,090.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965 : 37,318.50 = 37,318.50 : x
  2. Step 2: Convert to fraction form
    16,965/37,318.50 = 37,318.50/x
  3. Step 3: Cross multiply
    16,965x = 37,318.50 × 37,318.50
  4. Step 4: Simplify right side
    16,965x = 1,392,670,442.25
  5. Step 5: Solve for x
    x = 1,392,670,442.25/16,965
  6. Step 6: Final answer
    x = 82,090.80

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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.