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Finding the Third Proportional to 21,242.25 and 33,747.75

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Solution

The third proportional to 21,242.25 and 33,747.75 is: 53,615.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,242.25 : 33,747.75 = 33,747.75 : x
  2. Step 2: Convert to fraction form
    21,242.25/33,747.75 = 33,747.75/x
  3. Step 3: Cross multiply
    21,242.25x = 33,747.75 × 33,747.75
  4. Step 4: Simplify right side
    21,242.25x = 1,138,910,630.06
  5. Step 5: Solve for x
    x = 1,138,910,630.06/21,242.25
  6. Step 6: Final answer
    x = 53,615.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.