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Finding the Third Proportional to 37,330 and 58,268

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Solution

The third proportional to 37,330 and 58,268 is: 90,949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,330 : 58,268 = 58,268 : x
  2. Step 2: Convert to fraction form
    37,330/58,268 = 58,268/x
  3. Step 3: Cross multiply
    37,330x = 58,268 × 58,268
  4. Step 4: Simplify right side
    37,330x = 3,395,159,824
  5. Step 5: Solve for x
    x = 3,395,159,824/37,330
  6. Step 6: Final answer
    x = 90,949.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.