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Finding the Third Proportional to 25,804 and 52,701

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Solution

The third proportional to 25,804 and 52,701 is: 107,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,804 : 52,701 = 52,701 : x
  2. Step 2: Convert to fraction form
    25,804/52,701 = 52,701/x
  3. Step 3: Cross multiply
    25,804x = 52,701 × 52,701
  4. Step 4: Simplify right side
    25,804x = 2,777,395,401
  5. Step 5: Solve for x
    x = 2,777,395,401/25,804
  6. Step 6: Final answer
    x = 107,634.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.