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Finding the Third Proportional to 34,686.75 and 52,035

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Solution

The third proportional to 34,686.75 and 52,035 is: 78,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,686.75 : 52,035 = 52,035 : x
  2. Step 2: Convert to fraction form
    34,686.75/52,035 = 52,035/x
  3. Step 3: Cross multiply
    34,686.75x = 52,035 × 52,035
  4. Step 4: Simplify right side
    34,686.75x = 2,707,641,225
  5. Step 5: Solve for x
    x = 2,707,641,225/34,686.75
  6. Step 6: Final answer
    x = 78,059.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.