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Finding the Third Proportional to 34,962 and 77,818

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Solution

The third proportional to 34,962 and 77,818 is: 173,206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,962 : 77,818 = 77,818 : x
  2. Step 2: Convert to fraction form
    34,962/77,818 = 77,818/x
  3. Step 3: Cross multiply
    34,962x = 77,818 × 77,818
  4. Step 4: Simplify right side
    34,962x = 6,055,641,124
  5. Step 5: Solve for x
    x = 6,055,641,124/34,962
  6. Step 6: Final answer
    x = 173,206.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.