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Finding the Third Proportional to 14,119 and 20,648

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Solution

The third proportional to 14,119 and 20,648 is: 30,196.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,119 : 20,648 = 20,648 : x
  2. Step 2: Convert to fraction form
    14,119/20,648 = 20,648/x
  3. Step 3: Cross multiply
    14,119x = 20,648 × 20,648
  4. Step 4: Simplify right side
    14,119x = 426,339,904
  5. Step 5: Solve for x
    x = 426,339,904/14,119
  6. Step 6: Final answer
    x = 30,196.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.