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Finding the Third Proportional to 14,002 and 21,485

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Solution

The third proportional to 14,002 and 21,485 is: 32,967.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002 : 21,485 = 21,485 : x
  2. Step 2: Convert to fraction form
    14,002/21,485 = 21,485/x
  3. Step 3: Cross multiply
    14,002x = 21,485 × 21,485
  4. Step 4: Simplify right side
    14,002x = 461,605,225
  5. Step 5: Solve for x
    x = 461,605,225/14,002
  6. Step 6: Final answer
    x = 32,967.09

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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.