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Finding the Third Proportional to 27,762 and 56,556

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Solution

The third proportional to 27,762 and 56,556 is: 115,214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762 : 56,556 = 56,556 : x
  2. Step 2: Convert to fraction form
    27,762/56,556 = 56,556/x
  3. Step 3: Cross multiply
    27,762x = 56,556 × 56,556
  4. Step 4: Simplify right side
    27,762x = 3,198,581,136
  5. Step 5: Solve for x
    x = 3,198,581,136/27,762
  6. Step 6: Final answer
    x = 115,214.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.