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Finding the Third Proportional to 37,450 and 58,479

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Solution

The third proportional to 37,450 and 58,479 is: 91,316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,450 : 58,479 = 58,479 : x
  2. Step 2: Convert to fraction form
    37,450/58,479 = 58,479/x
  3. Step 3: Cross multiply
    37,450x = 58,479 × 58,479
  4. Step 4: Simplify right side
    37,450x = 3,419,793,441
  5. Step 5: Solve for x
    x = 3,419,793,441/37,450
  6. Step 6: Final answer
    x = 91,316.25

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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.