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Finding the Third Proportional to 27,108 and 40,596

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Solution

The third proportional to 27,108 and 40,596 is: 60,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,108 : 40,596 = 40,596 : x
  2. Step 2: Convert to fraction form
    27,108/40,596 = 40,596/x
  3. Step 3: Cross multiply
    27,108x = 40,596 × 40,596
  4. Step 4: Simplify right side
    27,108x = 1,648,035,216
  5. Step 5: Solve for x
    x = 1,648,035,216/27,108
  6. Step 6: Final answer
    x = 60,795.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.