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Finding the Third Proportional to 34,684 and 53,682

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Solution

The third proportional to 34,684 and 53,682 is: 83,086.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,684 : 53,682 = 53,682 : x
  2. Step 2: Convert to fraction form
    34,684/53,682 = 53,682/x
  3. Step 3: Cross multiply
    34,684x = 53,682 × 53,682
  4. Step 4: Simplify right side
    34,684x = 2,881,757,124
  5. Step 5: Solve for x
    x = 2,881,757,124/34,684
  6. Step 6: Final answer
    x = 83,086.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.