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Finding the Third Proportional to 36,731 and 54,556

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Solution

The third proportional to 36,731 and 54,556 is: 81,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,731 : 54,556 = 54,556 : x
  2. Step 2: Convert to fraction form
    36,731/54,556 = 54,556/x
  3. Step 3: Cross multiply
    36,731x = 54,556 × 54,556
  4. Step 4: Simplify right side
    36,731x = 2,976,357,136
  5. Step 5: Solve for x
    x = 2,976,357,136/36,731
  6. Step 6: Final answer
    x = 81,031.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.