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Finding the Third Proportional to 27,973 and 43,216

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Solution

The third proportional to 27,973 and 43,216 is: 66,765.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,973 : 43,216 = 43,216 : x
  2. Step 2: Convert to fraction form
    27,973/43,216 = 43,216/x
  3. Step 3: Cross multiply
    27,973x = 43,216 × 43,216
  4. Step 4: Simplify right side
    27,973x = 1,867,622,656
  5. Step 5: Solve for x
    x = 1,867,622,656/27,973
  6. Step 6: Final answer
    x = 66,765.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.