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Finding the Third Proportional to 48,027.25 and 77,167

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Solution

The third proportional to 48,027.25 and 77,167 is: 123,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,027.25 : 77,167 = 77,167 : x
  2. Step 2: Convert to fraction form
    48,027.25/77,167 = 77,167/x
  3. Step 3: Cross multiply
    48,027.25x = 77,167 × 77,167
  4. Step 4: Simplify right side
    48,027.25x = 5,954,745,889
  5. Step 5: Solve for x
    x = 5,954,745,889/48,027.25
  6. Step 6: Final answer
    x = 123,986.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.