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Finding the Third Proportional to 5,306.91 and 11,536.59

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Solution

The third proportional to 5,306.91 and 11,536.59 is: 25,079.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.91 : 11,536.59 = 11,536.59 : x
  2. Step 2: Convert to fraction form
    5,306.91/11,536.59 = 11,536.59/x
  3. Step 3: Cross multiply
    5,306.91x = 11,536.59 × 11,536.59
  4. Step 4: Simplify right side
    5,306.91x = 133,092,995.35
  5. Step 5: Solve for x
    x = 133,092,995.35/5,306.91
  6. Step 6: Final answer
    x = 25,079.21

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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.