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Finding the Third Proportional to 48,427.88 and 72,640.69

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Solution

The third proportional to 48,427.88 and 72,640.69 is: 108,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,427.88 : 72,640.69 = 72,640.69 : x
  2. Step 2: Convert to fraction form
    48,427.88/72,640.69 = 72,640.69/x
  3. Step 3: Cross multiply
    48,427.88x = 72,640.69 × 72,640.69
  4. Step 4: Simplify right side
    48,427.88x = 5,276,669,480.47
  5. Step 5: Solve for x
    x = 5,276,669,480.47/48,427.88
  6. Step 6: Final answer
    x = 108,959.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.