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Finding the Third Proportional to 27,138 and 40,655

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Solution

The third proportional to 27,138 and 40,655 is: 60,904.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,138 : 40,655 = 40,655 : x
  2. Step 2: Convert to fraction form
    27,138/40,655 = 40,655/x
  3. Step 3: Cross multiply
    27,138x = 40,655 × 40,655
  4. Step 4: Simplify right side
    27,138x = 1,652,829,025
  5. Step 5: Solve for x
    x = 1,652,829,025/27,138
  6. Step 6: Final answer
    x = 60,904.60

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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.