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Finding the Third Proportional to 18,521 and 25,927

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Solution

The third proportional to 18,521 and 25,927 is: 36,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,521 : 25,927 = 25,927 : x
  2. Step 2: Convert to fraction form
    18,521/25,927 = 25,927/x
  3. Step 3: Cross multiply
    18,521x = 25,927 × 25,927
  4. Step 4: Simplify right side
    18,521x = 672,209,329
  5. Step 5: Solve for x
    x = 672,209,329/18,521
  6. Step 6: Final answer
    x = 36,294.44

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.