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Finding the Third Proportional to 7,672 and 17,927

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Solution

The third proportional to 7,672 and 17,927 is: 41,889.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672 : 17,927 = 17,927 : x
  2. Step 2: Convert to fraction form
    7,672/17,927 = 17,927/x
  3. Step 3: Cross multiply
    7,672x = 17,927 × 17,927
  4. Step 4: Simplify right side
    7,672x = 321,377,329
  5. Step 5: Solve for x
    x = 321,377,329/7,672
  6. Step 6: Final answer
    x = 41,889.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.