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Finding the Third Proportional to 5,530.62 and 8,296.41

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Solution

The third proportional to 5,530.62 and 8,296.41 is: 12,445.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.62 : 8,296.41 = 8,296.41 : x
  2. Step 2: Convert to fraction form
    5,530.62/8,296.41 = 8,296.41/x
  3. Step 3: Cross multiply
    5,530.62x = 8,296.41 × 8,296.41
  4. Step 4: Simplify right side
    5,530.62x = 68,830,405.28
  5. Step 5: Solve for x
    x = 68,830,405.28/5,530.62
  6. Step 6: Final answer
    x = 12,445.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.