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Finding the Third Proportional to 33,702.75 and 50,972.63

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Solution

The third proportional to 33,702.75 and 50,972.63 is: 77,091.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,702.75 : 50,972.63 = 50,972.63 : x
  2. Step 2: Convert to fraction form
    33,702.75/50,972.63 = 50,972.63/x
  3. Step 3: Cross multiply
    33,702.75x = 50,972.63 × 50,972.63
  4. Step 4: Simplify right side
    33,702.75x = 2,598,208,499.39
  5. Step 5: Solve for x
    x = 2,598,208,499.39/33,702.75
  6. Step 6: Final answer
    x = 77,091.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.