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Finding the Third Proportional to 7,136.23 and 15,639.33

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Solution

The third proportional to 7,136.23 and 15,639.33 is: 34,274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.23 : 15,639.33 = 15,639.33 : x
  2. Step 2: Convert to fraction form
    7,136.23/15,639.33 = 15,639.33/x
  3. Step 3: Cross multiply
    7,136.23x = 15,639.33 × 15,639.33
  4. Step 4: Simplify right side
    7,136.23x = 244,588,584.20
  5. Step 5: Solve for x
    x = 244,588,584.20/7,136.23
  6. Step 6: Final answer
    x = 34,274.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.