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Finding the Third Proportional to 13,851 and 33,534

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Solution

The third proportional to 13,851 and 33,534 is: 81,187.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851 : 33,534 = 33,534 : x
  2. Step 2: Convert to fraction form
    13,851/33,534 = 33,534/x
  3. Step 3: Cross multiply
    13,851x = 33,534 × 33,534
  4. Step 4: Simplify right side
    13,851x = 1,124,529,156
  5. Step 5: Solve for x
    x = 1,124,529,156/13,851
  6. Step 6: Final answer
    x = 81,187.58

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.