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Finding the Third Proportional to 14,413 and 22,057

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Solution

The third proportional to 14,413 and 22,057 is: 33,755.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413 : 22,057 = 22,057 : x
  2. Step 2: Convert to fraction form
    14,413/22,057 = 22,057/x
  3. Step 3: Cross multiply
    14,413x = 22,057 × 22,057
  4. Step 4: Simplify right side
    14,413x = 486,511,249
  5. Step 5: Solve for x
    x = 486,511,249/14,413
  6. Step 6: Final answer
    x = 33,755.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.