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Finding the Third Proportional to 18,534 and 27,153

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Solution

The third proportional to 18,534 and 27,153 is: 39,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,534 : 27,153 = 27,153 : x
  2. Step 2: Convert to fraction form
    18,534/27,153 = 27,153/x
  3. Step 3: Cross multiply
    18,534x = 27,153 × 27,153
  4. Step 4: Simplify right side
    18,534x = 737,285,409
  5. Step 5: Solve for x
    x = 737,285,409/18,534
  6. Step 6: Final answer
    x = 39,780.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.