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Finding the Third Proportional to 14,364 and 19,404

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Solution

The third proportional to 14,364 and 19,404 is: 26,212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364 : 19,404 = 19,404 : x
  2. Step 2: Convert to fraction form
    14,364/19,404 = 19,404/x
  3. Step 3: Cross multiply
    14,364x = 19,404 × 19,404
  4. Step 4: Simplify right side
    14,364x = 376,515,216
  5. Step 5: Solve for x
    x = 376,515,216/14,364
  6. Step 6: Final answer
    x = 26,212.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.