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Finding the Third Proportional to 19,120.64 and 41,007.94

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Solution

The third proportional to 19,120.64 and 41,007.94 is: 87,949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,120.64 : 41,007.94 = 41,007.94 : x
  2. Step 2: Convert to fraction form
    19,120.64/41,007.94 = 41,007.94/x
  3. Step 3: Cross multiply
    19,120.64x = 41,007.94 × 41,007.94
  4. Step 4: Simplify right side
    19,120.64x = 1,681,650,938.00
  5. Step 5: Solve for x
    x = 1,681,650,938.00/19,120.64
  6. Step 6: Final answer
    x = 87,949.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.