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Finding the Third Proportional to 25,550 and 55,600

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Solution

The third proportional to 25,550 and 55,600 is: 120,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,550 : 55,600 = 55,600 : x
  2. Step 2: Convert to fraction form
    25,550/55,600 = 55,600/x
  3. Step 3: Cross multiply
    25,550x = 55,600 × 55,600
  4. Step 4: Simplify right side
    25,550x = 3,091,360,000
  5. Step 5: Solve for x
    x = 3,091,360,000/25,550
  6. Step 6: Final answer
    x = 120,992.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.