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Finding the Third Proportional to 15,777 and 27,666

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Solution

The third proportional to 15,777 and 27,666 is: 48,514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777 : 27,666 = 27,666 : x
  2. Step 2: Convert to fraction form
    15,777/27,666 = 27,666/x
  3. Step 3: Cross multiply
    15,777x = 27,666 × 27,666
  4. Step 4: Simplify right side
    15,777x = 765,407,556
  5. Step 5: Solve for x
    x = 765,407,556/15,777
  6. Step 6: Final answer
    x = 48,514.14

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.