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Finding the Third Proportional to 34,116 and 51,704

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Solution

The third proportional to 34,116 and 51,704 is: 78,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,116 : 51,704 = 51,704 : x
  2. Step 2: Convert to fraction form
    34,116/51,704 = 51,704/x
  3. Step 3: Cross multiply
    34,116x = 51,704 × 51,704
  4. Step 4: Simplify right side
    34,116x = 2,673,303,616
  5. Step 5: Solve for x
    x = 2,673,303,616/34,116
  6. Step 6: Final answer
    x = 78,359.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.