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Finding the Third Proportional to 5,384.53 and 11,633.91

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Solution

The third proportional to 5,384.53 and 11,633.91 is: 25,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.53 : 11,633.91 = 11,633.91 : x
  2. Step 2: Convert to fraction form
    5,384.53/11,633.91 = 11,633.91/x
  3. Step 3: Cross multiply
    5,384.53x = 11,633.91 × 11,633.91
  4. Step 4: Simplify right side
    5,384.53x = 135,347,774.63
  5. Step 5: Solve for x
    x = 135,347,774.63/5,384.53
  6. Step 6: Final answer
    x = 25,136.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.