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Finding the Third Proportional to 14,234 and 21,695.25

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Solution

The third proportional to 14,234 and 21,695.25 is: 33,067.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234 : 21,695.25 = 21,695.25 : x
  2. Step 2: Convert to fraction form
    14,234/21,695.25 = 21,695.25/x
  3. Step 3: Cross multiply
    14,234x = 21,695.25 × 21,695.25
  4. Step 4: Simplify right side
    14,234x = 470,683,872.56
  5. Step 5: Solve for x
    x = 470,683,872.56/14,234
  6. Step 6: Final answer
    x = 33,067.58

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.