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Finding the Third Proportional to 37,882 and 82,316

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Solution

The third proportional to 37,882 and 82,316 is: 178,869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,882 : 82,316 = 82,316 : x
  2. Step 2: Convert to fraction form
    37,882/82,316 = 82,316/x
  3. Step 3: Cross multiply
    37,882x = 82,316 × 82,316
  4. Step 4: Simplify right side
    37,882x = 6,775,923,856
  5. Step 5: Solve for x
    x = 6,775,923,856/37,882
  6. Step 6: Final answer
    x = 178,869.22

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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.