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Finding the Third Proportional to 27,231 and 41,655

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Solution

The third proportional to 27,231 and 41,655 is: 63,719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,231 : 41,655 = 41,655 : x
  2. Step 2: Convert to fraction form
    27,231/41,655 = 41,655/x
  3. Step 3: Cross multiply
    27,231x = 41,655 × 41,655
  4. Step 4: Simplify right side
    27,231x = 1,735,139,025
  5. Step 5: Solve for x
    x = 1,735,139,025/27,231
  6. Step 6: Final answer
    x = 63,719.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.