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Finding the Third Proportional to 14,337 and 21,721

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Solution

The third proportional to 14,337 and 21,721 is: 32,907.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,337 : 21,721 = 21,721 : x
  2. Step 2: Convert to fraction form
    14,337/21,721 = 21,721/x
  3. Step 3: Cross multiply
    14,337x = 21,721 × 21,721
  4. Step 4: Simplify right side
    14,337x = 471,801,841
  5. Step 5: Solve for x
    x = 471,801,841/14,337
  6. Step 6: Final answer
    x = 32,907.99

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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.