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Finding the Third Proportional to 27,650 and 36,291

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Solution

The third proportional to 27,650 and 36,291 is: 47,632.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,650 : 36,291 = 36,291 : x
  2. Step 2: Convert to fraction form
    27,650/36,291 = 36,291/x
  3. Step 3: Cross multiply
    27,650x = 36,291 × 36,291
  4. Step 4: Simplify right side
    27,650x = 1,317,036,681
  5. Step 5: Solve for x
    x = 1,317,036,681/27,650
  6. Step 6: Final answer
    x = 47,632.43

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.