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Finding the Third Proportional to 23,608.13 and 33,021

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Solution

The third proportional to 23,608.13 and 33,021 is: 46,186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,608.13 : 33,021 = 33,021 : x
  2. Step 2: Convert to fraction form
    23,608.13/33,021 = 33,021/x
  3. Step 3: Cross multiply
    23,608.13x = 33,021 × 33,021
  4. Step 4: Simplify right side
    23,608.13x = 1,090,386,441
  5. Step 5: Solve for x
    x = 1,090,386,441/23,608.13
  6. Step 6: Final answer
    x = 46,186.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.