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Finding the Third Proportional to 18,102 and 27,345

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Solution

The third proportional to 18,102 and 27,345 is: 41,307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102 : 27,345 = 27,345 : x
  2. Step 2: Convert to fraction form
    18,102/27,345 = 27,345/x
  3. Step 3: Cross multiply
    18,102x = 27,345 × 27,345
  4. Step 4: Simplify right side
    18,102x = 747,749,025
  5. Step 5: Solve for x
    x = 747,749,025/18,102
  6. Step 6: Final answer
    x = 41,307.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.