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Finding the Third Proportional to 14,346 and 20,663

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Solution

The third proportional to 14,346 and 20,663 is: 29,761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,346 : 20,663 = 20,663 : x
  2. Step 2: Convert to fraction form
    14,346/20,663 = 20,663/x
  3. Step 3: Cross multiply
    14,346x = 20,663 × 20,663
  4. Step 4: Simplify right side
    14,346x = 426,959,569
  5. Step 5: Solve for x
    x = 426,959,569/14,346
  6. Step 6: Final answer
    x = 29,761.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.