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Finding the Third Proportional to 4,243.01 and 9,215.02

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Solution

The third proportional to 4,243.01 and 9,215.02 is: 20,013.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.01 : 9,215.02 = 9,215.02 : x
  2. Step 2: Convert to fraction form
    4,243.01/9,215.02 = 9,215.02/x
  3. Step 3: Cross multiply
    4,243.01x = 9,215.02 × 9,215.02
  4. Step 4: Simplify right side
    4,243.01x = 84,916,512.97
  5. Step 5: Solve for x
    x = 84,916,512.97/4,243.01
  6. Step 6: Final answer
    x = 20,013.28

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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.