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Finding the Third Proportional to 5,306.63 and 11,525.91

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Solution

The third proportional to 5,306.63 and 11,525.91 is: 25,034.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.63 : 11,525.91 = 11,525.91 : x
  2. Step 2: Convert to fraction form
    5,306.63/11,525.91 = 11,525.91/x
  3. Step 3: Cross multiply
    5,306.63x = 11,525.91 × 11,525.91
  4. Step 4: Simplify right side
    5,306.63x = 132,846,514.88
  5. Step 5: Solve for x
    x = 132,846,514.88/5,306.63
  6. Step 6: Final answer
    x = 25,034.09

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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.