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Finding the Third Proportional to 37,701 and 82,854

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Solution

The third proportional to 37,701 and 82,854 is: 182,084.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,701 : 82,854 = 82,854 : x
  2. Step 2: Convert to fraction form
    37,701/82,854 = 82,854/x
  3. Step 3: Cross multiply
    37,701x = 82,854 × 82,854
  4. Step 4: Simplify right side
    37,701x = 6,864,785,316
  5. Step 5: Solve for x
    x = 6,864,785,316/37,701
  6. Step 6: Final answer
    x = 182,084.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.