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Finding the Third Proportional to 15,644.25 and 33,805.13

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Solution

The third proportional to 15,644.25 and 33,805.13 is: 73,048.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644.25 : 33,805.13 = 33,805.13 : x
  2. Step 2: Convert to fraction form
    15,644.25/33,805.13 = 33,805.13/x
  3. Step 3: Cross multiply
    15,644.25x = 33,805.13 × 33,805.13
  4. Step 4: Simplify right side
    15,644.25x = 1,142,786,476.27
  5. Step 5: Solve for x
    x = 1,142,786,476.27/15,644.25
  6. Step 6: Final answer
    x = 73,048.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.