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Finding the Third Proportional to 3,389.06 and 7,037.44

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Solution

The third proportional to 3,389.06 and 7,037.44 is: 14,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.06 : 7,037.44 = 7,037.44 : x
  2. Step 2: Convert to fraction form
    3,389.06/7,037.44 = 7,037.44/x
  3. Step 3: Cross multiply
    3,389.06x = 7,037.44 × 7,037.44
  4. Step 4: Simplify right side
    3,389.06x = 49,525,526.57
  5. Step 5: Solve for x
    x = 49,525,526.57/3,389.06
  6. Step 6: Final answer
    x = 14,613.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.