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Finding the Third Proportional to 11,185.31 and 15,136.59

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Solution

The third proportional to 11,185.31 and 15,136.59 is: 20,483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,185.31 : 15,136.59 = 15,136.59 : x
  2. Step 2: Convert to fraction form
    11,185.31/15,136.59 = 15,136.59/x
  3. Step 3: Cross multiply
    11,185.31x = 15,136.59 × 15,136.59
  4. Step 4: Simplify right side
    11,185.31x = 229,116,470.35
  5. Step 5: Solve for x
    x = 229,116,470.35/11,185.31
  6. Step 6: Final answer
    x = 20,483.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.