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Finding the Third Proportional to 33,634.41 and 70,754.34

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Solution

The third proportional to 33,634.41 and 70,754.34 is: 148,840.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,634.41 : 70,754.34 = 70,754.34 : x
  2. Step 2: Convert to fraction form
    33,634.41/70,754.34 = 70,754.34/x
  3. Step 3: Cross multiply
    33,634.41x = 70,754.34 × 70,754.34
  4. Step 4: Simplify right side
    33,634.41x = 5,006,177,159.49
  5. Step 5: Solve for x
    x = 5,006,177,159.49/33,634.41
  6. Step 6: Final answer
    x = 148,840.96

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.