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Finding the Third Proportional to 14,188 and 21,502

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Solution

The third proportional to 14,188 and 21,502 is: 32,586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188 : 21,502 = 21,502 : x
  2. Step 2: Convert to fraction form
    14,188/21,502 = 21,502/x
  3. Step 3: Cross multiply
    14,188x = 21,502 × 21,502
  4. Step 4: Simplify right side
    14,188x = 462,336,004
  5. Step 5: Solve for x
    x = 462,336,004/14,188
  6. Step 6: Final answer
    x = 32,586.41

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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.