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Finding the Third Proportional to 27,600 and 41,484

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Solution

The third proportional to 27,600 and 41,484 is: 62,352.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,600 : 41,484 = 41,484 : x
  2. Step 2: Convert to fraction form
    27,600/41,484 = 41,484/x
  3. Step 3: Cross multiply
    27,600x = 41,484 × 41,484
  4. Step 4: Simplify right side
    27,600x = 1,720,922,256
  5. Step 5: Solve for x
    x = 1,720,922,256/27,600
  6. Step 6: Final answer
    x = 62,352.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.