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Finding the Third Proportional to 25,800.50 and 52,694

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Solution

The third proportional to 25,800.50 and 52,694 is: 107,620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,800.50 : 52,694 = 52,694 : x
  2. Step 2: Convert to fraction form
    25,800.50/52,694 = 52,694/x
  3. Step 3: Cross multiply
    25,800.50x = 52,694 × 52,694
  4. Step 4: Simplify right side
    25,800.50x = 2,776,657,636
  5. Step 5: Solve for x
    x = 2,776,657,636/25,800.50
  6. Step 6: Final answer
    x = 107,620.30

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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.