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Finding the Third Proportional to 5,136.54 and 6,960.62

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Solution

The third proportional to 5,136.54 and 6,960.62 is: 9,432.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.54 : 6,960.62 = 6,960.62 : x
  2. Step 2: Convert to fraction form
    5,136.54/6,960.62 = 6,960.62/x
  3. Step 3: Cross multiply
    5,136.54x = 6,960.62 × 6,960.62
  4. Step 4: Simplify right side
    5,136.54x = 48,450,246.01
  5. Step 5: Solve for x
    x = 48,450,246.01/5,136.54
  6. Step 6: Final answer
    x = 9,432.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.