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Finding the Third Proportional to 14,525 and 22,188

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Solution

The third proportional to 14,525 and 22,188 is: 33,893.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,525 : 22,188 = 22,188 : x
  2. Step 2: Convert to fraction form
    14,525/22,188 = 22,188/x
  3. Step 3: Cross multiply
    14,525x = 22,188 × 22,188
  4. Step 4: Simplify right side
    14,525x = 492,307,344
  5. Step 5: Solve for x
    x = 492,307,344/14,525
  6. Step 6: Final answer
    x = 33,893.79

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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.