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Finding the Third Proportional to 41,191 and 55,710

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Solution

The third proportional to 41,191 and 55,710 is: 75,346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,191 : 55,710 = 55,710 : x
  2. Step 2: Convert to fraction form
    41,191/55,710 = 55,710/x
  3. Step 3: Cross multiply
    41,191x = 55,710 × 55,710
  4. Step 4: Simplify right side
    41,191x = 3,103,604,100
  5. Step 5: Solve for x
    x = 3,103,604,100/41,191
  6. Step 6: Final answer
    x = 75,346.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.