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Finding the Third Proportional to 25,594 and 55,916

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Solution

The third proportional to 25,594 and 55,916 is: 122,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,594 : 55,916 = 55,916 : x
  2. Step 2: Convert to fraction form
    25,594/55,916 = 55,916/x
  3. Step 3: Cross multiply
    25,594x = 55,916 × 55,916
  4. Step 4: Simplify right side
    25,594x = 3,126,599,056
  5. Step 5: Solve for x
    x = 3,126,599,056/25,594
  6. Step 6: Final answer
    x = 122,161.41

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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.