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Finding the Third Proportional to 34,215 and 51,186

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Solution

The third proportional to 34,215 and 51,186 is: 76,574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,215 : 51,186 = 51,186 : x
  2. Step 2: Convert to fraction form
    34,215/51,186 = 51,186/x
  3. Step 3: Cross multiply
    34,215x = 51,186 × 51,186
  4. Step 4: Simplify right side
    34,215x = 2,620,006,596
  5. Step 5: Solve for x
    x = 2,620,006,596/34,215
  6. Step 6: Final answer
    x = 76,574.79

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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.