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Finding the Third Proportional to 25,871.25 and 56,823

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Solution

The third proportional to 25,871.25 and 56,823 is: 124,804.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,871.25 : 56,823 = 56,823 : x
  2. Step 2: Convert to fraction form
    25,871.25/56,823 = 56,823/x
  3. Step 3: Cross multiply
    25,871.25x = 56,823 × 56,823
  4. Step 4: Simplify right side
    25,871.25x = 3,228,853,329
  5. Step 5: Solve for x
    x = 3,228,853,329/25,871.25
  6. Step 6: Final answer
    x = 124,804.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.