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Finding the Third Proportional to 5,421.94 and 11,777.91

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Solution

The third proportional to 5,421.94 and 11,777.91 is: 25,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421.94 : 11,777.91 = 11,777.91 : x
  2. Step 2: Convert to fraction form
    5,421.94/11,777.91 = 11,777.91/x
  3. Step 3: Cross multiply
    5,421.94x = 11,777.91 × 11,777.91
  4. Step 4: Simplify right side
    5,421.94x = 138,719,075.63
  5. Step 5: Solve for x
    x = 138,719,075.63/5,421.94
  6. Step 6: Final answer
    x = 25,584.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.