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Finding the Third Proportional to 25,976 and 54,536

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Solution

The third proportional to 25,976 and 54,536 is: 114,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,976 : 54,536 = 54,536 : x
  2. Step 2: Convert to fraction form
    25,976/54,536 = 54,536/x
  3. Step 3: Cross multiply
    25,976x = 54,536 × 54,536
  4. Step 4: Simplify right side
    25,976x = 2,974,175,296
  5. Step 5: Solve for x
    x = 2,974,175,296/25,976
  6. Step 6: Final answer
    x = 114,497.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.