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Finding the Third Proportional to 36,880 and 58,638

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Solution

The third proportional to 36,880 and 58,638 is: 93,232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,880 : 58,638 = 58,638 : x
  2. Step 2: Convert to fraction form
    36,880/58,638 = 58,638/x
  3. Step 3: Cross multiply
    36,880x = 58,638 × 58,638
  4. Step 4: Simplify right side
    36,880x = 3,438,415,044
  5. Step 5: Solve for x
    x = 3,438,415,044/36,880
  6. Step 6: Final answer
    x = 93,232.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.