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Finding the Third Proportional to 37,476.84 and 80,512.31

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Solution

The third proportional to 37,476.84 and 80,512.31 is: 172,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,476.84 : 80,512.31 = 80,512.31 : x
  2. Step 2: Convert to fraction form
    37,476.84/80,512.31 = 80,512.31/x
  3. Step 3: Cross multiply
    37,476.84x = 80,512.31 × 80,512.31
  4. Step 4: Simplify right side
    37,476.84x = 6,482,232,464.10
  5. Step 5: Solve for x
    x = 6,482,232,464.10/37,476.84
  6. Step 6: Final answer
    x = 172,966.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.