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Finding the Third Proportional to 9,913.22 and 13,456.97

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Solution

The third proportional to 9,913.22 and 13,456.97 is: 18,267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.22 : 13,456.97 = 13,456.97 : x
  2. Step 2: Convert to fraction form
    9,913.22/13,456.97 = 13,456.97/x
  3. Step 3: Cross multiply
    9,913.22x = 13,456.97 × 13,456.97
  4. Step 4: Simplify right side
    9,913.22x = 181,090,007.94
  5. Step 5: Solve for x
    x = 181,090,007.94/9,913.22
  6. Step 6: Final answer
    x = 18,267.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.