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Finding the Third Proportional to 14,464 and 21,638

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Solution

The third proportional to 14,464 and 21,638 is: 32,370.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464 : 21,638 = 21,638 : x
  2. Step 2: Convert to fraction form
    14,464/21,638 = 21,638/x
  3. Step 3: Cross multiply
    14,464x = 21,638 × 21,638
  4. Step 4: Simplify right side
    14,464x = 468,203,044
  5. Step 5: Solve for x
    x = 468,203,044/14,464
  6. Step 6: Final answer
    x = 32,370.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.