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Finding the Third Proportional to 16,037 and 23,983.50

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Solution

The third proportional to 16,037 and 23,983.50 is: 35,867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,037 : 23,983.50 = 23,983.50 : x
  2. Step 2: Convert to fraction form
    16,037/23,983.50 = 23,983.50/x
  3. Step 3: Cross multiply
    16,037x = 23,983.50 × 23,983.50
  4. Step 4: Simplify right side
    16,037x = 575,208,272.25
  5. Step 5: Solve for x
    x = 575,208,272.25/16,037
  6. Step 6: Final answer
    x = 35,867.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.