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Finding the Third Proportional to 25,552 and 55,856

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Solution

The third proportional to 25,552 and 55,856 is: 122,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,552 : 55,856 = 55,856 : x
  2. Step 2: Convert to fraction form
    25,552/55,856 = 55,856/x
  3. Step 3: Cross multiply
    25,552x = 55,856 × 55,856
  4. Step 4: Simplify right side
    25,552x = 3,119,892,736
  5. Step 5: Solve for x
    x = 3,119,892,736/25,552
  6. Step 6: Final answer
    x = 122,099.75

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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.