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Finding the Third Proportional to 34,072 and 52,336

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Solution

The third proportional to 34,072 and 52,336 is: 80,390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,072 : 52,336 = 52,336 : x
  2. Step 2: Convert to fraction form
    34,072/52,336 = 52,336/x
  3. Step 3: Cross multiply
    34,072x = 52,336 × 52,336
  4. Step 4: Simplify right side
    34,072x = 2,739,056,896
  5. Step 5: Solve for x
    x = 2,739,056,896/34,072
  6. Step 6: Final answer
    x = 80,390.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.