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Finding the Third Proportional to 37,880 and 58,732

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Solution

The third proportional to 37,880 and 58,732 is: 91,062.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,880 : 58,732 = 58,732 : x
  2. Step 2: Convert to fraction form
    37,880/58,732 = 58,732/x
  3. Step 3: Cross multiply
    37,880x = 58,732 × 58,732
  4. Step 4: Simplify right side
    37,880x = 3,449,447,824
  5. Step 5: Solve for x
    x = 3,449,447,824/37,880
  6. Step 6: Final answer
    x = 91,062.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.