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Finding the Third Proportional to 33,269.50 and 51,281

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Solution

The third proportional to 33,269.50 and 51,281 is: 79,043.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,269.50 : 51,281 = 51,281 : x
  2. Step 2: Convert to fraction form
    33,269.50/51,281 = 51,281/x
  3. Step 3: Cross multiply
    33,269.50x = 51,281 × 51,281
  4. Step 4: Simplify right side
    33,269.50x = 2,629,740,961
  5. Step 5: Solve for x
    x = 2,629,740,961/33,269.50
  6. Step 6: Final answer
    x = 79,043.60

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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.