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Finding the Third Proportional to 14,142 and 19,944

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Solution

The third proportional to 14,142 and 19,944 is: 28,126.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142 : 19,944 = 19,944 : x
  2. Step 2: Convert to fraction form
    14,142/19,944 = 19,944/x
  3. Step 3: Cross multiply
    14,142x = 19,944 × 19,944
  4. Step 4: Simplify right side
    14,142x = 397,763,136
  5. Step 5: Solve for x
    x = 397,763,136/14,142
  6. Step 6: Final answer
    x = 28,126.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.