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Finding the Third Proportional to 25,443 and 55,406

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Solution

The third proportional to 25,443 and 55,406 is: 120,654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,443 : 55,406 = 55,406 : x
  2. Step 2: Convert to fraction form
    25,443/55,406 = 55,406/x
  3. Step 3: Cross multiply
    25,443x = 55,406 × 55,406
  4. Step 4: Simplify right side
    25,443x = 3,069,824,836
  5. Step 5: Solve for x
    x = 3,069,824,836/25,443
  6. Step 6: Final answer
    x = 120,654.99

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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.