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Finding the Third Proportional to 34,016 and 51,154

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Solution

The third proportional to 34,016 and 51,154 is: 76,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,016 : 51,154 = 51,154 : x
  2. Step 2: Convert to fraction form
    34,016/51,154 = 51,154/x
  3. Step 3: Cross multiply
    34,016x = 51,154 × 51,154
  4. Step 4: Simplify right side
    34,016x = 2,616,731,716
  5. Step 5: Solve for x
    x = 2,616,731,716/34,016
  6. Step 6: Final answer
    x = 76,926.50

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Why These Related Problems?

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