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Finding the Third Proportional to 3,002.06 and 6,152.63

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Solution

The third proportional to 3,002.06 and 6,152.63 is: 12,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.06 : 6,152.63 = 6,152.63 : x
  2. Step 2: Convert to fraction form
    3,002.06/6,152.63 = 6,152.63/x
  3. Step 3: Cross multiply
    3,002.06x = 6,152.63 × 6,152.63
  4. Step 4: Simplify right side
    3,002.06x = 37,854,794.39
  5. Step 5: Solve for x
    x = 37,854,794.39/3,002.06
  6. Step 6: Final answer
    x = 12,609.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.