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Finding the Third Proportional to 25,678 and 55,567

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Solution

The third proportional to 25,678 and 55,567 is: 120,246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,678 : 55,567 = 55,567 : x
  2. Step 2: Convert to fraction form
    25,678/55,567 = 55,567/x
  3. Step 3: Cross multiply
    25,678x = 55,567 × 55,567
  4. Step 4: Simplify right side
    25,678x = 3,087,691,489
  5. Step 5: Solve for x
    x = 3,087,691,489/25,678
  6. Step 6: Final answer
    x = 120,246.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.