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Finding the Third Proportional to 25,884 and 56,472

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Solution

The third proportional to 25,884 and 56,472 is: 123,206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,884 : 56,472 = 56,472 : x
  2. Step 2: Convert to fraction form
    25,884/56,472 = 56,472/x
  3. Step 3: Cross multiply
    25,884x = 56,472 × 56,472
  4. Step 4: Simplify right side
    25,884x = 3,189,086,784
  5. Step 5: Solve for x
    x = 3,189,086,784/25,884
  6. Step 6: Final answer
    x = 123,206.88

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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.