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Finding the Third Proportional to 34,659.56 and 70,961.06

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Solution

The third proportional to 34,659.56 and 70,961.06 is: 145,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,659.56 : 70,961.06 = 70,961.06 : x
  2. Step 2: Convert to fraction form
    34,659.56/70,961.06 = 70,961.06/x
  3. Step 3: Cross multiply
    34,659.56x = 70,961.06 × 70,961.06
  4. Step 4: Simplify right side
    34,659.56x = 5,035,472,391.13
  5. Step 5: Solve for x
    x = 5,035,472,391.13/34,659.56
  6. Step 6: Final answer
    x = 145,283.78

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.