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Finding the Third Proportional to 25,827 and 54,756

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Solution

The third proportional to 25,827 and 54,756 is: 116,088.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,827 : 54,756 = 54,756 : x
  2. Step 2: Convert to fraction form
    25,827/54,756 = 54,756/x
  3. Step 3: Cross multiply
    25,827x = 54,756 × 54,756
  4. Step 4: Simplify right side
    25,827x = 2,998,219,536
  5. Step 5: Solve for x
    x = 2,998,219,536/25,827
  6. Step 6: Final answer
    x = 116,088.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.