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Finding the Third Proportional to 16,038 and 21,201.75

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Solution

The third proportional to 16,038 and 21,201.75 is: 28,028.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038 : 21,201.75 = 21,201.75 : x
  2. Step 2: Convert to fraction form
    16,038/21,201.75 = 21,201.75/x
  3. Step 3: Cross multiply
    16,038x = 21,201.75 × 21,201.75
  4. Step 4: Simplify right side
    16,038x = 449,514,203.06
  5. Step 5: Solve for x
    x = 449,514,203.06/16,038
  6. Step 6: Final answer
    x = 28,028.07

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.