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Finding the Third Proportional to 49,384.50 and 79,533

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Solution

The third proportional to 49,384.50 and 79,533 is: 128,086.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,384.50 : 79,533 = 79,533 : x
  2. Step 2: Convert to fraction form
    49,384.50/79,533 = 79,533/x
  3. Step 3: Cross multiply
    49,384.50x = 79,533 × 79,533
  4. Step 4: Simplify right side
    49,384.50x = 6,325,498,089
  5. Step 5: Solve for x
    x = 6,325,498,089/49,384.50
  6. Step 6: Final answer
    x = 128,086.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.