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Finding the Third Proportional to 25,549 and 55,850

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Solution

The third proportional to 25,549 and 55,850 is: 122,087.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,549 : 55,850 = 55,850 : x
  2. Step 2: Convert to fraction form
    25,549/55,850 = 55,850/x
  3. Step 3: Cross multiply
    25,549x = 55,850 × 55,850
  4. Step 4: Simplify right side
    25,549x = 3,119,222,500
  5. Step 5: Solve for x
    x = 3,119,222,500/25,549
  6. Step 6: Final answer
    x = 122,087.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.