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Finding the Third Proportional to 3,703.03 and 8,021.06

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Solution

The third proportional to 3,703.03 and 8,021.06 is: 17,374.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.03 : 8,021.06 = 8,021.06 : x
  2. Step 2: Convert to fraction form
    3,703.03/8,021.06 = 8,021.06/x
  3. Step 3: Cross multiply
    3,703.03x = 8,021.06 × 8,021.06
  4. Step 4: Simplify right side
    3,703.03x = 64,337,443.63
  5. Step 5: Solve for x
    x = 64,337,443.63/3,703.03
  6. Step 6: Final answer
    x = 17,374.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.