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Finding the Third Proportional to 25,554 and 55,875

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Solution

The third proportional to 25,554 and 55,875 is: 122,173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,554 : 55,875 = 55,875 : x
  2. Step 2: Convert to fraction form
    25,554/55,875 = 55,875/x
  3. Step 3: Cross multiply
    25,554x = 55,875 × 55,875
  4. Step 4: Simplify right side
    25,554x = 3,122,015,625
  5. Step 5: Solve for x
    x = 3,122,015,625/25,554
  6. Step 6: Final answer
    x = 122,173.27

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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.