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Finding the Third Proportional to 37,596 and 81,888

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Solution

The third proportional to 37,596 and 81,888 is: 178,360.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,596 : 81,888 = 81,888 : x
  2. Step 2: Convert to fraction form
    37,596/81,888 = 81,888/x
  3. Step 3: Cross multiply
    37,596x = 81,888 × 81,888
  4. Step 4: Simplify right side
    37,596x = 6,705,644,544
  5. Step 5: Solve for x
    x = 6,705,644,544/37,596
  6. Step 6: Final answer
    x = 178,360.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.