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Finding the Third Proportional to 14,364 and 19,398

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Solution

The third proportional to 14,364 and 19,398 is: 26,196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364 : 19,398 = 19,398 : x
  2. Step 2: Convert to fraction form
    14,364/19,398 = 19,398/x
  3. Step 3: Cross multiply
    14,364x = 19,398 × 19,398
  4. Step 4: Simplify right side
    14,364x = 376,282,404
  5. Step 5: Solve for x
    x = 376,282,404/14,364
  6. Step 6: Final answer
    x = 26,196.21

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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.