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Finding the Third Proportional to 27,872 and 40,916

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Solution

The third proportional to 27,872 and 40,916 is: 60,064.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872 : 40,916 = 40,916 : x
  2. Step 2: Convert to fraction form
    27,872/40,916 = 40,916/x
  3. Step 3: Cross multiply
    27,872x = 40,916 × 40,916
  4. Step 4: Simplify right side
    27,872x = 1,674,119,056
  5. Step 5: Solve for x
    x = 1,674,119,056/27,872
  6. Step 6: Final answer
    x = 60,064.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.