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Finding the Third Proportional to 5,960.25 and 8,710.88

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Solution

The third proportional to 5,960.25 and 8,710.88 is: 12,730.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.25 : 8,710.88 = 8,710.88 : x
  2. Step 2: Convert to fraction form
    5,960.25/8,710.88 = 8,710.88/x
  3. Step 3: Cross multiply
    5,960.25x = 8,710.88 × 8,710.88
  4. Step 4: Simplify right side
    5,960.25x = 75,879,343.27
  5. Step 5: Solve for x
    x = 75,879,343.27/5,960.25
  6. Step 6: Final answer
    x = 12,730.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.