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Finding the Third Proportional to 14,464 and 22,001

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Solution

The third proportional to 14,464 and 22,001 is: 33,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464 : 22,001 = 22,001 : x
  2. Step 2: Convert to fraction form
    14,464/22,001 = 22,001/x
  3. Step 3: Cross multiply
    14,464x = 22,001 × 22,001
  4. Step 4: Simplify right side
    14,464x = 484,044,001
  5. Step 5: Solve for x
    x = 484,044,001/14,464
  6. Step 6: Final answer
    x = 33,465.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.