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Finding the Third Proportional to 14,069 and 22,400

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Solution

The third proportional to 14,069 and 22,400 is: 35,664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,069 : 22,400 = 22,400 : x
  2. Step 2: Convert to fraction form
    14,069/22,400 = 22,400/x
  3. Step 3: Cross multiply
    14,069x = 22,400 × 22,400
  4. Step 4: Simplify right side
    14,069x = 501,760,000
  5. Step 5: Solve for x
    x = 501,760,000/14,069
  6. Step 6: Final answer
    x = 35,664.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.