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Finding the Third Proportional to 33,730.75 and 48,730.75

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Solution

The third proportional to 33,730.75 and 48,730.75 is: 70,401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,730.75 : 48,730.75 = 48,730.75 : x
  2. Step 2: Convert to fraction form
    33,730.75/48,730.75 = 48,730.75/x
  3. Step 3: Cross multiply
    33,730.75x = 48,730.75 × 48,730.75
  4. Step 4: Simplify right side
    33,730.75x = 2,374,685,995.56
  5. Step 5: Solve for x
    x = 2,374,685,995.56/33,730.75
  6. Step 6: Final answer
    x = 70,401.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.