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Finding the Third Proportional to 6,458 and 14,372

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Solution

The third proportional to 6,458 and 14,372 is: 31,984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458 : 14,372 = 14,372 : x
  2. Step 2: Convert to fraction form
    6,458/14,372 = 14,372/x
  3. Step 3: Cross multiply
    6,458x = 14,372 × 14,372
  4. Step 4: Simplify right side
    6,458x = 206,554,384
  5. Step 5: Solve for x
    x = 206,554,384/6,458
  6. Step 6: Final answer
    x = 31,984.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.