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Finding the Third Proportional to 33,041.75 and 49,572.75

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Solution

The third proportional to 33,041.75 and 49,572.75 is: 74,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,041.75 : 49,572.75 = 49,572.75 : x
  2. Step 2: Convert to fraction form
    33,041.75/49,572.75 = 49,572.75/x
  3. Step 3: Cross multiply
    33,041.75x = 49,572.75 × 49,572.75
  4. Step 4: Simplify right side
    33,041.75x = 2,457,457,542.56
  5. Step 5: Solve for x
    x = 2,457,457,542.56/33,041.75
  6. Step 6: Final answer
    x = 74,374.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.