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Finding the Third Proportional to 8,463.23 and 18,233.54

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Solution

The third proportional to 8,463.23 and 18,233.54 is: 39,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.23 : 18,233.54 = 18,233.54 : x
  2. Step 2: Convert to fraction form
    8,463.23/18,233.54 = 18,233.54/x
  3. Step 3: Cross multiply
    8,463.23x = 18,233.54 × 18,233.54
  4. Step 4: Simplify right side
    8,463.23x = 332,462,089.19
  5. Step 5: Solve for x
    x = 332,462,089.19/8,463.23
  6. Step 6: Final answer
    x = 39,283.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.