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Finding the Third Proportional to 14,494 and 19,145

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Solution

The third proportional to 14,494 and 19,145 is: 25,288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494 : 19,145 = 19,145 : x
  2. Step 2: Convert to fraction form
    14,494/19,145 = 19,145/x
  3. Step 3: Cross multiply
    14,494x = 19,145 × 19,145
  4. Step 4: Simplify right side
    14,494x = 366,531,025
  5. Step 5: Solve for x
    x = 366,531,025/14,494
  6. Step 6: Final answer
    x = 25,288.47

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.