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Finding the Third Proportional to 25,815 and 56,868

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Solution

The third proportional to 25,815 and 56,868 is: 125,274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,815 : 56,868 = 56,868 : x
  2. Step 2: Convert to fraction form
    25,815/56,868 = 56,868/x
  3. Step 3: Cross multiply
    25,815x = 56,868 × 56,868
  4. Step 4: Simplify right side
    25,815x = 3,233,969,424
  5. Step 5: Solve for x
    x = 3,233,969,424/25,815
  6. Step 6: Final answer
    x = 125,274.82

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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.