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Finding the Third Proportional to 33,476.63 and 72,962.44

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Solution

The third proportional to 33,476.63 and 72,962.44 is: 159,021.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,476.63 : 72,962.44 = 72,962.44 : x
  2. Step 2: Convert to fraction form
    33,476.63/72,962.44 = 72,962.44/x
  3. Step 3: Cross multiply
    33,476.63x = 72,962.44 × 72,962.44
  4. Step 4: Simplify right side
    33,476.63x = 5,323,517,285.94
  5. Step 5: Solve for x
    x = 5,323,517,285.94/33,476.63
  6. Step 6: Final answer
    x = 159,021.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.