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Finding the Third Proportional to 38,011.50 and 80,943.75

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Solution

The third proportional to 38,011.50 and 80,943.75 is: 172,366.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,011.50 : 80,943.75 = 80,943.75 : x
  2. Step 2: Convert to fraction form
    38,011.50/80,943.75 = 80,943.75/x
  3. Step 3: Cross multiply
    38,011.50x = 80,943.75 × 80,943.75
  4. Step 4: Simplify right side
    38,011.50x = 6,551,890,664.06
  5. Step 5: Solve for x
    x = 6,551,890,664.06/38,011.50
  6. Step 6: Final answer
    x = 172,366.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.