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Finding the Third Proportional to 27,302 and 43,412

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Solution

The third proportional to 27,302 and 43,412 is: 69,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,302 : 43,412 = 43,412 : x
  2. Step 2: Convert to fraction form
    27,302/43,412 = 43,412/x
  3. Step 3: Cross multiply
    27,302x = 43,412 × 43,412
  4. Step 4: Simplify right side
    27,302x = 1,884,601,744
  5. Step 5: Solve for x
    x = 1,884,601,744/27,302
  6. Step 6: Final answer
    x = 69,027.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.