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Finding the Third Proportional to 33,420.75 and 74,312.75

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Solution

The third proportional to 33,420.75 and 74,312.75 is: 165,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,420.75 : 74,312.75 = 74,312.75 : x
  2. Step 2: Convert to fraction form
    33,420.75/74,312.75 = 74,312.75/x
  3. Step 3: Cross multiply
    33,420.75x = 74,312.75 × 74,312.75
  4. Step 4: Simplify right side
    33,420.75x = 5,522,384,812.56
  5. Step 5: Solve for x
    x = 5,522,384,812.56/33,420.75
  6. Step 6: Final answer
    x = 165,238.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.