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Finding the Third Proportional to 27,609 and 36,784

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Solution

The third proportional to 27,609 and 36,784 is: 49,008.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,609 : 36,784 = 36,784 : x
  2. Step 2: Convert to fraction form
    27,609/36,784 = 36,784/x
  3. Step 3: Cross multiply
    27,609x = 36,784 × 36,784
  4. Step 4: Simplify right side
    27,609x = 1,353,062,656
  5. Step 5: Solve for x
    x = 1,353,062,656/27,609
  6. Step 6: Final answer
    x = 49,008.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.