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Finding the Third Proportional to 6,021 and 13,073.06

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Solution

The third proportional to 6,021 and 13,073.06 is: 28,384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,021 : 13,073.06 = 13,073.06 : x
  2. Step 2: Convert to fraction form
    6,021/13,073.06 = 13,073.06/x
  3. Step 3: Cross multiply
    6,021x = 13,073.06 × 13,073.06
  4. Step 4: Simplify right side
    6,021x = 170,904,963.13
  5. Step 5: Solve for x
    x = 170,904,963.13/6,021
  6. Step 6: Final answer
    x = 28,384.81

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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.