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Finding the Third Proportional to 37,610 and 54,635

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Solution

The third proportional to 37,610 and 54,635 is: 79,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,610 : 54,635 = 54,635 : x
  2. Step 2: Convert to fraction form
    37,610/54,635 = 54,635/x
  3. Step 3: Cross multiply
    37,610x = 54,635 × 54,635
  4. Step 4: Simplify right side
    37,610x = 2,984,983,225
  5. Step 5: Solve for x
    x = 2,984,983,225/37,610
  6. Step 6: Final answer
    x = 79,366.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.