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Finding the Third Proportional to 1,378.69 and 2,136.45

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Solution

The third proportional to 1,378.69 and 2,136.45 is: 3,310.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.69 : 2,136.45 = 2,136.45 : x
  2. Step 2: Convert to fraction form
    1,378.69/2,136.45 = 2,136.45/x
  3. Step 3: Cross multiply
    1,378.69x = 2,136.45 × 2,136.45
  4. Step 4: Simplify right side
    1,378.69x = 4,564,398.57
  5. Step 5: Solve for x
    x = 4,564,398.57/1,378.69
  6. Step 6: Final answer
    x = 3,310.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.