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Finding the Third Proportional to 37,544 and 81,584

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Solution

The third proportional to 37,544 and 81,584 is: 177,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,544 : 81,584 = 81,584 : x
  2. Step 2: Convert to fraction form
    37,544/81,584 = 81,584/x
  3. Step 3: Cross multiply
    37,544x = 81,584 × 81,584
  4. Step 4: Simplify right side
    37,544x = 6,655,949,056
  5. Step 5: Solve for x
    x = 6,655,949,056/37,544
  6. Step 6: Final answer
    x = 177,283.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.