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Finding the Third Proportional to 12,242 and 16,356

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Solution

The third proportional to 12,242 and 16,356 is: 21,852.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242 : 16,356 = 16,356 : x
  2. Step 2: Convert to fraction form
    12,242/16,356 = 16,356/x
  3. Step 3: Cross multiply
    12,242x = 16,356 × 16,356
  4. Step 4: Simplify right side
    12,242x = 267,518,736
  5. Step 5: Solve for x
    x = 267,518,736/12,242
  6. Step 6: Final answer
    x = 21,852.54

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.