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Finding the Third Proportional to 27,663 and 42,903

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Solution

The third proportional to 27,663 and 42,903 is: 66,538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,663 : 42,903 = 42,903 : x
  2. Step 2: Convert to fraction form
    27,663/42,903 = 42,903/x
  3. Step 3: Cross multiply
    27,663x = 42,903 × 42,903
  4. Step 4: Simplify right side
    27,663x = 1,840,667,409
  5. Step 5: Solve for x
    x = 1,840,667,409/27,663
  6. Step 6: Final answer
    x = 66,538.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.