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Finding the Third Proportional to 25,854.19 and 52,796.81

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Solution

The third proportional to 25,854.19 and 52,796.81 is: 107,816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,854.19 : 52,796.81 = 52,796.81 : x
  2. Step 2: Convert to fraction form
    25,854.19/52,796.81 = 52,796.81/x
  3. Step 3: Cross multiply
    25,854.19x = 52,796.81 × 52,796.81
  4. Step 4: Simplify right side
    25,854.19x = 2,787,503,410.16
  5. Step 5: Solve for x
    x = 2,787,503,410.16/25,854.19
  6. Step 6: Final answer
    x = 107,816.32

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.