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Finding the Third Proportional to 16,017 and 36,867.75

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Solution

The third proportional to 16,017 and 36,867.75 is: 84,861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,017 : 36,867.75 = 36,867.75 : x
  2. Step 2: Convert to fraction form
    16,017/36,867.75 = 36,867.75/x
  3. Step 3: Cross multiply
    16,017x = 36,867.75 × 36,867.75
  4. Step 4: Simplify right side
    16,017x = 1,359,230,990.06
  5. Step 5: Solve for x
    x = 1,359,230,990.06/16,017
  6. Step 6: Final answer
    x = 84,861.77

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.