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Finding the Third Proportional to 3,160.11 and 7,021.66

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Solution

The third proportional to 3,160.11 and 7,021.66 is: 15,601.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.11 : 7,021.66 = 7,021.66 : x
  2. Step 2: Convert to fraction form
    3,160.11/7,021.66 = 7,021.66/x
  3. Step 3: Cross multiply
    3,160.11x = 7,021.66 × 7,021.66
  4. Step 4: Simplify right side
    3,160.11x = 49,303,725.06
  5. Step 5: Solve for x
    x = 49,303,725.06/3,160.11
  6. Step 6: Final answer
    x = 15,601.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.