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Finding the Third Proportional to 25,271 and 54,976

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Solution

The third proportional to 25,271 and 54,976 is: 119,597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,271 : 54,976 = 54,976 : x
  2. Step 2: Convert to fraction form
    25,271/54,976 = 54,976/x
  3. Step 3: Cross multiply
    25,271x = 54,976 × 54,976
  4. Step 4: Simplify right side
    25,271x = 3,022,360,576
  5. Step 5: Solve for x
    x = 3,022,360,576/25,271
  6. Step 6: Final answer
    x = 119,597.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.