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Finding the Third Proportional to 27,232 and 55,584

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Solution

The third proportional to 27,232 and 55,584 is: 113,454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,232 : 55,584 = 55,584 : x
  2. Step 2: Convert to fraction form
    27,232/55,584 = 55,584/x
  3. Step 3: Cross multiply
    27,232x = 55,584 × 55,584
  4. Step 4: Simplify right side
    27,232x = 3,089,581,056
  5. Step 5: Solve for x
    x = 3,089,581,056/27,232
  6. Step 6: Final answer
    x = 113,454.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.