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Finding the Third Proportional to 27,230 and 39,661

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Solution

The third proportional to 27,230 and 39,661 is: 57,766.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,230 : 39,661 = 39,661 : x
  2. Step 2: Convert to fraction form
    27,230/39,661 = 39,661/x
  3. Step 3: Cross multiply
    27,230x = 39,661 × 39,661
  4. Step 4: Simplify right side
    27,230x = 1,572,994,921
  5. Step 5: Solve for x
    x = 1,572,994,921/27,230
  6. Step 6: Final answer
    x = 57,766.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.