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Finding the Third Proportional to 38,880.38 and 55,005.75

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Solution

The third proportional to 38,880.38 and 55,005.75 is: 77,819.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,880.38 : 55,005.75 = 55,005.75 : x
  2. Step 2: Convert to fraction form
    38,880.38/55,005.75 = 55,005.75/x
  3. Step 3: Cross multiply
    38,880.38x = 55,005.75 × 55,005.75
  4. Step 4: Simplify right side
    38,880.38x = 3,025,632,533.06
  5. Step 5: Solve for x
    x = 3,025,632,533.06/38,880.38
  6. Step 6: Final answer
    x = 77,819.02

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.