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Finding the Third Proportional to 27,042 and 36,172

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Solution

The third proportional to 27,042 and 36,172 is: 48,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,042 : 36,172 = 36,172 : x
  2. Step 2: Convert to fraction form
    27,042/36,172 = 36,172/x
  3. Step 3: Cross multiply
    27,042x = 36,172 × 36,172
  4. Step 4: Simplify right side
    27,042x = 1,308,413,584
  5. Step 5: Solve for x
    x = 1,308,413,584/27,042
  6. Step 6: Final answer
    x = 48,384.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.