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Finding the Third Proportional to 27,962 and 42,916

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Solution

The third proportional to 27,962 and 42,916 is: 65,867.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,962 : 42,916 = 42,916 : x
  2. Step 2: Convert to fraction form
    27,962/42,916 = 42,916/x
  3. Step 3: Cross multiply
    27,962x = 42,916 × 42,916
  4. Step 4: Simplify right side
    27,962x = 1,841,783,056
  5. Step 5: Solve for x
    x = 1,841,783,056/27,962
  6. Step 6: Final answer
    x = 65,867.36

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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.