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Finding the Third Proportional to 33,447.94 and 48,972.09

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Solution

The third proportional to 33,447.94 and 48,972.09 is: 71,701.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,447.94 : 48,972.09 = 48,972.09 : x
  2. Step 2: Convert to fraction form
    33,447.94/48,972.09 = 48,972.09/x
  3. Step 3: Cross multiply
    33,447.94x = 48,972.09 × 48,972.09
  4. Step 4: Simplify right side
    33,447.94x = 2,398,265,966.26
  5. Step 5: Solve for x
    x = 2,398,265,966.26/33,447.94
  6. Step 6: Final answer
    x = 71,701.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.