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Finding the Third Proportional to 34,836 and 53,073

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Solution

The third proportional to 34,836 and 53,073 is: 80,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,836 : 53,073 = 53,073 : x
  2. Step 2: Convert to fraction form
    34,836/53,073 = 53,073/x
  3. Step 3: Cross multiply
    34,836x = 53,073 × 53,073
  4. Step 4: Simplify right side
    34,836x = 2,816,743,329
  5. Step 5: Solve for x
    x = 2,816,743,329/34,836
  6. Step 6: Final answer
    x = 80,857.25

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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.