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Finding the Third Proportional to 25,328 and 55,632

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Solution

The third proportional to 25,328 and 55,632 is: 122,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,328 : 55,632 = 55,632 : x
  2. Step 2: Convert to fraction form
    25,328/55,632 = 55,632/x
  3. Step 3: Cross multiply
    25,328x = 55,632 × 55,632
  4. Step 4: Simplify right side
    25,328x = 3,094,919,424
  5. Step 5: Solve for x
    x = 3,094,919,424/25,328
  6. Step 6: Final answer
    x = 122,193.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.