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Finding the Third Proportional to 6,437 and 13,927

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Solution

The third proportional to 6,437 and 13,927 is: 30,132.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437 : 13,927 = 13,927 : x
  2. Step 2: Convert to fraction form
    6,437/13,927 = 13,927/x
  3. Step 3: Cross multiply
    6,437x = 13,927 × 13,927
  4. Step 4: Simplify right side
    6,437x = 193,961,329
  5. Step 5: Solve for x
    x = 193,961,329/6,437
  6. Step 6: Final answer
    x = 30,132.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.