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Finding the Third Proportional to 25,591 and 55,553

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Solution

The third proportional to 25,591 and 55,553 is: 120,594.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,591 : 55,553 = 55,553 : x
  2. Step 2: Convert to fraction form
    25,591/55,553 = 55,553/x
  3. Step 3: Cross multiply
    25,591x = 55,553 × 55,553
  4. Step 4: Simplify right side
    25,591x = 3,086,135,809
  5. Step 5: Solve for x
    x = 3,086,135,809/25,591
  6. Step 6: Final answer
    x = 120,594.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.