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Finding the Third Proportional to 16,026 and 20,937

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Solution

The third proportional to 16,026 and 20,937 is: 27,352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,026 : 20,937 = 20,937 : x
  2. Step 2: Convert to fraction form
    16,026/20,937 = 20,937/x
  3. Step 3: Cross multiply
    16,026x = 20,937 × 20,937
  4. Step 4: Simplify right side
    16,026x = 438,357,969
  5. Step 5: Solve for x
    x = 438,357,969/16,026
  6. Step 6: Final answer
    x = 27,352.92

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.