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Finding the Third Proportional to 34,394.75 and 51,434

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Solution

The third proportional to 34,394.75 and 51,434 is: 76,914.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,394.75 : 51,434 = 51,434 : x
  2. Step 2: Convert to fraction form
    34,394.75/51,434 = 51,434/x
  3. Step 3: Cross multiply
    34,394.75x = 51,434 × 51,434
  4. Step 4: Simplify right side
    34,394.75x = 2,645,456,356
  5. Step 5: Solve for x
    x = 2,645,456,356/34,394.75
  6. Step 6: Final answer
    x = 76,914.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.