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Finding the Third Proportional to 34,663.50 and 70,965.75

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Solution

The third proportional to 34,663.50 and 70,965.75 is: 145,286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,663.50 : 70,965.75 = 70,965.75 : x
  2. Step 2: Convert to fraction form
    34,663.50/70,965.75 = 70,965.75/x
  3. Step 3: Cross multiply
    34,663.50x = 70,965.75 × 70,965.75
  4. Step 4: Simplify right side
    34,663.50x = 5,036,137,673.06
  5. Step 5: Solve for x
    x = 5,036,137,673.06/34,663.50
  6. Step 6: Final answer
    x = 145,286.47

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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.