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Finding the Third Proportional to 13,672 and 21,085

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Solution

The third proportional to 13,672 and 21,085 is: 32,517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672 : 21,085 = 21,085 : x
  2. Step 2: Convert to fraction form
    13,672/21,085 = 21,085/x
  3. Step 3: Cross multiply
    13,672x = 21,085 × 21,085
  4. Step 4: Simplify right side
    13,672x = 444,577,225
  5. Step 5: Solve for x
    x = 444,577,225/13,672
  6. Step 6: Final answer
    x = 32,517.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.