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Finding the Third Proportional to 27,108 and 40,365

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Solution

The third proportional to 27,108 and 40,365 is: 60,105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,108 : 40,365 = 40,365 : x
  2. Step 2: Convert to fraction form
    27,108/40,365 = 40,365/x
  3. Step 3: Cross multiply
    27,108x = 40,365 × 40,365
  4. Step 4: Simplify right side
    27,108x = 1,629,333,225
  5. Step 5: Solve for x
    x = 1,629,333,225/27,108
  6. Step 6: Final answer
    x = 60,105.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.