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Finding the Third Proportional to 48,289.25 and 76,838

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Solution

The third proportional to 48,289.25 and 76,838 is: 122,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,289.25 : 76,838 = 76,838 : x
  2. Step 2: Convert to fraction form
    48,289.25/76,838 = 76,838/x
  3. Step 3: Cross multiply
    48,289.25x = 76,838 × 76,838
  4. Step 4: Simplify right side
    48,289.25x = 5,904,078,244
  5. Step 5: Solve for x
    x = 5,904,078,244/48,289.25
  6. Step 6: Final answer
    x = 122,264.86

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