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Finding the Third Proportional to 3,005.63 and 7,021.13

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Solution

The third proportional to 3,005.63 and 7,021.13 is: 16,401.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.63 : 7,021.13 = 7,021.13 : x
  2. Step 2: Convert to fraction form
    3,005.63/7,021.13 = 7,021.13/x
  3. Step 3: Cross multiply
    3,005.63x = 7,021.13 × 7,021.13
  4. Step 4: Simplify right side
    3,005.63x = 49,296,196.27
  5. Step 5: Solve for x
    x = 49,296,196.27/3,005.63
  6. Step 6: Final answer
    x = 16,401.31

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.