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Finding the Third Proportional to 17,916 and 39,051

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Solution

The third proportional to 17,916 and 39,051 is: 85,118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,916 : 39,051 = 39,051 : x
  2. Step 2: Convert to fraction form
    17,916/39,051 = 39,051/x
  3. Step 3: Cross multiply
    17,916x = 39,051 × 39,051
  4. Step 4: Simplify right side
    17,916x = 1,524,980,601
  5. Step 5: Solve for x
    x = 1,524,980,601/17,916
  6. Step 6: Final answer
    x = 85,118.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.