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Finding the Third Proportional to 29,069.50 and 62,785

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Solution

The third proportional to 29,069.50 and 62,785 is: 135,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,069.50 : 62,785 = 62,785 : x
  2. Step 2: Convert to fraction form
    29,069.50/62,785 = 62,785/x
  3. Step 3: Cross multiply
    29,069.50x = 62,785 × 62,785
  4. Step 4: Simplify right side
    29,069.50x = 3,941,956,225
  5. Step 5: Solve for x
    x = 3,941,956,225/29,069.50
  6. Step 6: Final answer
    x = 135,604.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.