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Finding the Third Proportional to 14,136 and 19,940

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Solution

The third proportional to 14,136 and 19,940 is: 28,127.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,136 : 19,940 = 19,940 : x
  2. Step 2: Convert to fraction form
    14,136/19,940 = 19,940/x
  3. Step 3: Cross multiply
    14,136x = 19,940 × 19,940
  4. Step 4: Simplify right side
    14,136x = 397,603,600
  5. Step 5: Solve for x
    x = 397,603,600/14,136
  6. Step 6: Final answer
    x = 28,127.02

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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.