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Finding the Third Proportional to 27,771 and 40,671

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Solution

The third proportional to 27,771 and 40,671 is: 59,563.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771 : 40,671 = 40,671 : x
  2. Step 2: Convert to fraction form
    27,771/40,671 = 40,671/x
  3. Step 3: Cross multiply
    27,771x = 40,671 × 40,671
  4. Step 4: Simplify right side
    27,771x = 1,654,130,241
  5. Step 5: Solve for x
    x = 1,654,130,241/27,771
  6. Step 6: Final answer
    x = 59,563.22

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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.