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Finding the Third Proportional to 28,638 and 41,310

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Solution

The third proportional to 28,638 and 41,310 is: 59,589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,638 : 41,310 = 41,310 : x
  2. Step 2: Convert to fraction form
    28,638/41,310 = 41,310/x
  3. Step 3: Cross multiply
    28,638x = 41,310 × 41,310
  4. Step 4: Simplify right side
    28,638x = 1,706,516,100
  5. Step 5: Solve for x
    x = 1,706,516,100/28,638
  6. Step 6: Final answer
    x = 59,589.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.