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Finding the Third Proportional to 33,237.70 and 49,334.63

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Solution

The third proportional to 33,237.70 and 49,334.63 is: 73,227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,237.70 : 49,334.63 = 49,334.63 : x
  2. Step 2: Convert to fraction form
    33,237.70/49,334.63 = 49,334.63/x
  3. Step 3: Cross multiply
    33,237.70x = 49,334.63 × 49,334.63
  4. Step 4: Simplify right side
    33,237.70x = 2,433,905,223.89
  5. Step 5: Solve for x
    x = 2,433,905,223.89/33,237.70
  6. Step 6: Final answer
    x = 73,227.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.