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Finding the Third Proportional to 3,638.81 and 6,136.31

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Solution

The third proportional to 3,638.81 and 6,136.31 is: 10,347.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.81 : 6,136.31 = 6,136.31 : x
  2. Step 2: Convert to fraction form
    3,638.81/6,136.31 = 6,136.31/x
  3. Step 3: Cross multiply
    3,638.81x = 6,136.31 × 6,136.31
  4. Step 4: Simplify right side
    3,638.81x = 37,654,331.10
  5. Step 5: Solve for x
    x = 37,654,331.10/3,638.81
  6. Step 6: Final answer
    x = 10,347.97

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.